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Finding the Fourth Proportional to 65,114.70, 97,672.05 and 37,121.10

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Solution

The fourth proportional to 65,114.70, 97,672.05 and 37,121.10 is: 55,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.70 : 97,672.05 = 37,121.10 : x
  2. Step 2: Convert to fraction form
    65,114.70/97,672.05 = 37,121.10/x
  3. Step 3: Cross multiply
    65,114.70x = 97,672.05 × 37,121.10
  4. Step 4: Simplify right side
    65,114.70x = 3,625,693,935.26
  5. Step 5: Solve for x
    x = 3,625,693,935.26/65,114.70
  6. Step 6: Final answer
    x = 55,681.65

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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.