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Finding the Fourth Proportional to 38,711.64, 53,420.16 and 21,713.76

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Solution

The fourth proportional to 38,711.64, 53,420.16 and 21,713.76 is: 29,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,711.64 : 53,420.16 = 21,713.76 : x
  2. Step 2: Convert to fraction form
    38,711.64/53,420.16 = 21,713.76/x
  3. Step 3: Cross multiply
    38,711.64x = 53,420.16 × 21,713.76
  4. Step 4: Simplify right side
    38,711.64x = 1,159,952,533.40
  5. Step 5: Solve for x
    x = 1,159,952,533.40/38,711.64
  6. Step 6: Final answer
    x = 29,963.92

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