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Finding the Fourth Proportional to 77,754.18, 116,480.91 and 65,124.24

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Solution

The fourth proportional to 77,754.18, 116,480.91 and 65,124.24 is: 97,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754.18 : 116,480.91 = 65,124.24 : x
  2. Step 2: Convert to fraction form
    77,754.18/116,480.91 = 65,124.24/x
  3. Step 3: Cross multiply
    77,754.18x = 116,480.91 × 65,124.24
  4. Step 4: Simplify right side
    77,754.18x = 7,585,730,738.26
  5. Step 5: Solve for x
    x = 7,585,730,738.26/77,754.18
  6. Step 6: Final answer
    x = 97,560.42

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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.