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Finding the Fourth Proportional to 77,503.29, 116,225.42 and 45,922.26

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Solution

The fourth proportional to 77,503.29, 116,225.42 and 45,922.26 is: 68,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,503.29 : 116,225.42 = 45,922.26 : x
  2. Step 2: Convert to fraction form
    77,503.29/116,225.42 = 45,922.26/x
  3. Step 3: Cross multiply
    77,503.29x = 116,225.42 × 45,922.26
  4. Step 4: Simplify right side
    77,503.29x = 5,337,333,753.16
  5. Step 5: Solve for x
    x = 5,337,333,753.16/77,503.29
  6. Step 6: Final answer
    x = 68,865.90

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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.