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Finding the Fourth Proportional to 65,471.56, 98,131.20 and 37,411.30

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Solution

The fourth proportional to 65,471.56, 98,131.20 and 37,411.30 is: 56,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471.56 : 98,131.20 = 37,411.30 : x
  2. Step 2: Convert to fraction form
    65,471.56/98,131.20 = 37,411.30/x
  3. Step 3: Cross multiply
    65,471.56x = 98,131.20 × 37,411.30
  4. Step 4: Simplify right side
    65,471.56x = 3,671,215,762.56
  5. Step 5: Solve for x
    x = 3,671,215,762.56/65,471.56
  6. Step 6: Final answer
    x = 56,073.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.