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Finding the Fourth Proportional to 105,031.56, 144,947.40 and 59,717.16

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Solution

The fourth proportional to 105,031.56, 144,947.40 and 59,717.16 is: 82,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,031.56 : 144,947.40 = 59,717.16 : x
  2. Step 2: Convert to fraction form
    105,031.56/144,947.40 = 59,717.16/x
  3. Step 3: Cross multiply
    105,031.56x = 144,947.40 × 59,717.16
  4. Step 4: Simplify right side
    105,031.56x = 8,655,847,077.38
  5. Step 5: Solve for x
    x = 8,655,847,077.38/105,031.56
  6. Step 6: Final answer
    x = 82,411.87

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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.