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Finding the Fourth Proportional to 53,411.57, 73,695.93 and 31,897.41

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Solution

The fourth proportional to 53,411.57, 73,695.93 and 31,897.41 is: 44,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411.57 : 73,695.93 = 31,897.41 : x
  2. Step 2: Convert to fraction form
    53,411.57/73,695.93 = 31,897.41/x
  3. Step 3: Cross multiply
    53,411.57x = 73,695.93 × 31,897.41
  4. Step 4: Simplify right side
    53,411.57x = 2,350,709,313.11
  5. Step 5: Solve for x
    x = 2,350,709,313.11/53,411.57
  6. Step 6: Final answer
    x = 44,011.24

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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.