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Finding the Fourth Proportional to 77,001.92, 106,231.20 and 46,787.84

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Solution

The fourth proportional to 77,001.92, 106,231.20 and 46,787.84 is: 64,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,001.92 : 106,231.20 = 46,787.84 : x
  2. Step 2: Convert to fraction form
    77,001.92/106,231.20 = 46,787.84/x
  3. Step 3: Cross multiply
    77,001.92x = 106,231.20 × 46,787.84
  4. Step 4: Simplify right side
    77,001.92x = 4,970,328,388.61
  5. Step 5: Solve for x
    x = 4,970,328,388.61/77,001.92
  6. Step 6: Final answer
    x = 64,548.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.