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Finding the Fourth Proportional to 65,098.74, 97,562.76 and 37,031.70

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Solution

The fourth proportional to 65,098.74, 97,562.76 and 37,031.70 is: 55,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098.74 : 97,562.76 = 37,031.70 : x
  2. Step 2: Convert to fraction form
    65,098.74/97,562.76 = 37,031.70/x
  3. Step 3: Cross multiply
    65,098.74x = 97,562.76 × 37,031.70
  4. Step 4: Simplify right side
    65,098.74x = 3,612,914,859.49
  5. Step 5: Solve for x
    x = 3,612,914,859.49/65,098.74
  6. Step 6: Final answer
    x = 55,499.00

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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.