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Finding the Fourth Proportional to 38,714.52, 53,430.12 and 22,798.63

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Solution

The fourth proportional to 38,714.52, 53,430.12 and 22,798.63 is: 31,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.52 : 53,430.12 = 22,798.63 : x
  2. Step 2: Convert to fraction form
    38,714.52/53,430.12 = 22,798.63/x
  3. Step 3: Cross multiply
    38,714.52x = 53,430.12 × 22,798.63
  4. Step 4: Simplify right side
    38,714.52x = 1,218,133,536.74
  5. Step 5: Solve for x
    x = 1,218,133,536.74/38,714.52
  6. Step 6: Final answer
    x = 31,464.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.