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Finding the Fourth Proportional to 77,808.64, 116,712.96 and 62,152.96

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Solution

The fourth proportional to 77,808.64, 116,712.96 and 62,152.96 is: 93,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808.64 : 116,712.96 = 62,152.96 : x
  2. Step 2: Convert to fraction form
    77,808.64/116,712.96 = 62,152.96/x
  3. Step 3: Cross multiply
    77,808.64x = 116,712.96 × 62,152.96
  4. Step 4: Simplify right side
    77,808.64x = 7,254,055,934.36
  5. Step 5: Solve for x
    x = 7,254,055,934.36/77,808.64
  6. Step 6: Final answer
    x = 93,229.44

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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.