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Finding the Fourth Proportional to 52,338.72, 78,509 and 14,899.76

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Solution

The fourth proportional to 52,338.72, 78,509 and 14,899.76 is: 22,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338.72 : 78,509 = 14,899.76 : x
  2. Step 2: Convert to fraction form
    52,338.72/78,509 = 14,899.76/x
  3. Step 3: Cross multiply
    52,338.72x = 78,509 × 14,899.76
  4. Step 4: Simplify right side
    52,338.72x = 1,169,765,257.84
  5. Step 5: Solve for x
    x = 1,169,765,257.84/52,338.72
  6. Step 6: Final answer
    x = 22,349.90

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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.