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Finding the Fourth Proportional to 65,031.48, 97,471.92 and 29,897.40

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Solution

The fourth proportional to 65,031.48, 97,471.92 and 29,897.40 is: 44,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,031.48 : 97,471.92 = 29,897.40 : x
  2. Step 2: Convert to fraction form
    65,031.48/97,471.92 = 29,897.40/x
  3. Step 3: Cross multiply
    65,031.48x = 97,471.92 × 29,897.40
  4. Step 4: Simplify right side
    65,031.48x = 2,914,156,981.01
  5. Step 5: Solve for x
    x = 2,914,156,981.01/65,031.48
  6. Step 6: Final answer
    x = 44,811.48

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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.