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Finding the Fourth Proportional to 77,041.32, 115,472.88 and 32,601.48

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Solution

The fourth proportional to 77,041.32, 115,472.88 and 32,601.48 is: 48,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,041.32 : 115,472.88 = 32,601.48 : x
  2. Step 2: Convert to fraction form
    77,041.32/115,472.88 = 32,601.48/x
  3. Step 3: Cross multiply
    77,041.32x = 115,472.88 × 32,601.48
  4. Step 4: Simplify right side
    77,041.32x = 3,764,586,787.86
  5. Step 5: Solve for x
    x = 3,764,586,787.86/77,041.32
  6. Step 6: Final answer
    x = 48,864.52

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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.