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Finding the Fourth Proportional to 38,445.76, 53,055.84 and 22,534.72

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Solution

The fourth proportional to 38,445.76, 53,055.84 and 22,534.72 is: 31,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,445.76 : 53,055.84 = 22,534.72 : x
  2. Step 2: Convert to fraction form
    38,445.76/53,055.84 = 22,534.72/x
  3. Step 3: Cross multiply
    38,445.76x = 53,055.84 × 22,534.72
  4. Step 4: Simplify right side
    38,445.76x = 1,195,598,498.76
  5. Step 5: Solve for x
    x = 1,195,598,498.76/38,445.76
  6. Step 6: Final answer
    x = 31,098.32

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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.