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Finding the Fourth Proportional to 59,142.87, 88,713.84 and 14,769.32

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Solution

The fourth proportional to 59,142.87, 88,713.84 and 14,769.32 is: 22,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,142.87 : 88,713.84 = 14,769.32 : x
  2. Step 2: Convert to fraction form
    59,142.87/88,713.84 = 14,769.32/x
  3. Step 3: Cross multiply
    59,142.87x = 88,713.84 × 14,769.32
  4. Step 4: Simplify right side
    59,142.87x = 1,310,243,313.17
  5. Step 5: Solve for x
    x = 1,310,243,313.17/59,142.87
  6. Step 6: Final answer
    x = 22,153.87

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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.