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Finding the Fourth Proportional to 38,415.48, 53,034.24 and 26,542.63

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Solution

The fourth proportional to 38,415.48, 53,034.24 and 26,542.63 is: 36,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.48 : 53,034.24 = 26,542.63 : x
  2. Step 2: Convert to fraction form
    38,415.48/53,034.24 = 26,542.63/x
  3. Step 3: Cross multiply
    38,415.48x = 53,034.24 × 26,542.63
  4. Step 4: Simplify right side
    38,415.48x = 1,407,668,209.65
  5. Step 5: Solve for x
    x = 1,407,668,209.65/38,415.48
  6. Step 6: Final answer
    x = 36,643.25

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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.