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Finding the Fourth Proportional to 77,807.80, 116,711.70 and 48,283.30

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Solution

The fourth proportional to 77,807.80, 116,711.70 and 48,283.30 is: 72,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.80 : 116,711.70 = 48,283.30 : x
  2. Step 2: Convert to fraction form
    77,807.80/116,711.70 = 48,283.30/x
  3. Step 3: Cross multiply
    77,807.80x = 116,711.70 × 48,283.30
  4. Step 4: Simplify right side
    77,807.80x = 5,635,226,024.61
  5. Step 5: Solve for x
    x = 5,635,226,024.61/77,807.80
  6. Step 6: Final answer
    x = 72,424.95

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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.