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Finding the Fourth Proportional to 42,551.76, 63,856.78 and 14,849.76

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Solution

The fourth proportional to 42,551.76, 63,856.78 and 14,849.76 is: 22,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,551.76 : 63,856.78 = 14,849.76 : x
  2. Step 2: Convert to fraction form
    42,551.76/63,856.78 = 14,849.76/x
  3. Step 3: Cross multiply
    42,551.76x = 63,856.78 × 14,849.76
  4. Step 4: Simplify right side
    42,551.76x = 948,257,857.37
  5. Step 5: Solve for x
    x = 948,257,857.37/42,551.76
  6. Step 6: Final answer
    x = 22,284.81

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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.