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Finding the Fourth Proportional to 42,477.50, 63,711.84 and 14,396.82

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Solution

The fourth proportional to 42,477.50, 63,711.84 and 14,396.82 is: 21,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.50 : 63,711.84 = 14,396.82 : x
  2. Step 2: Convert to fraction form
    42,477.50/63,711.84 = 14,396.82/x
  3. Step 3: Cross multiply
    42,477.50x = 63,711.84 × 14,396.82
  4. Step 4: Simplify right side
    42,477.50x = 917,247,892.35
  5. Step 5: Solve for x
    x = 917,247,892.35/42,477.50
  6. Step 6: Final answer
    x = 21,593.74

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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.