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Finding the Fourth Proportional to 45,931.38, 63,384.80 and 25,787.78

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Solution

The fourth proportional to 45,931.38, 63,384.80 and 25,787.78 is: 35,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,931.38 : 63,384.80 = 25,787.78 : x
  2. Step 2: Convert to fraction form
    45,931.38/63,384.80 = 25,787.78/x
  3. Step 3: Cross multiply
    45,931.38x = 63,384.80 × 25,787.78
  4. Step 4: Simplify right side
    45,931.38x = 1,634,553,277.74
  5. Step 5: Solve for x
    x = 1,634,553,277.74/45,931.38
  6. Step 6: Final answer
    x = 35,586.85

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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.