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Finding the Fourth Proportional to 65,135.71, 97,715.27 and 23,040.19

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Solution

The fourth proportional to 65,135.71, 97,715.27 and 23,040.19 is: 34,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.71 : 97,715.27 = 23,040.19 : x
  2. Step 2: Convert to fraction form
    65,135.71/97,715.27 = 23,040.19/x
  3. Step 3: Cross multiply
    65,135.71x = 97,715.27 × 23,040.19
  4. Step 4: Simplify right side
    65,135.71x = 2,251,378,386.70
  5. Step 5: Solve for x
    x = 2,251,378,386.70/65,135.71
  6. Step 6: Final answer
    x = 34,564.43

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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.