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Finding the Fourth Proportional to 77,807.70, 116,711.55 and 48,283.20

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Solution

The fourth proportional to 77,807.70, 116,711.55 and 48,283.20 is: 72,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.70 : 116,711.55 = 48,283.20 : x
  2. Step 2: Convert to fraction form
    77,807.70/116,711.55 = 48,283.20/x
  3. Step 3: Cross multiply
    77,807.70x = 116,711.55 × 48,283.20
  4. Step 4: Simplify right side
    77,807.70x = 5,635,207,110.96
  5. Step 5: Solve for x
    x = 5,635,207,110.96/77,807.70
  6. Step 6: Final answer
    x = 72,424.80

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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.