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Finding the Fourth Proportional to 65,106.50, 89,853.66 and 39,614.72

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Solution

The fourth proportional to 65,106.50, 89,853.66 and 39,614.72 is: 54,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.50 : 89,853.66 = 39,614.72 : x
  2. Step 2: Convert to fraction form
    65,106.50/89,853.66 = 39,614.72/x
  3. Step 3: Cross multiply
    65,106.50x = 89,853.66 × 39,614.72
  4. Step 4: Simplify right side
    65,106.50x = 3,559,527,132.61
  5. Step 5: Solve for x
    x = 3,559,527,132.61/65,106.50
  6. Step 6: Final answer
    x = 54,672.38

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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.