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Finding the Fourth Proportional to 57,557.50, 86,341.14 and 16,004.50

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Solution

The fourth proportional to 57,557.50, 86,341.14 and 16,004.50 is: 24,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557.50 : 86,341.14 = 16,004.50 : x
  2. Step 2: Convert to fraction form
    57,557.50/86,341.14 = 16,004.50/x
  3. Step 3: Cross multiply
    57,557.50x = 86,341.14 × 16,004.50
  4. Step 4: Simplify right side
    57,557.50x = 1,381,846,775.13
  5. Step 5: Solve for x
    x = 1,381,846,775.13/57,557.50
  6. Step 6: Final answer
    x = 24,008.11

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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.