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Finding the Fourth Proportional to 39,482.96, 59,202.36 and 16,082

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Solution

The fourth proportional to 39,482.96, 59,202.36 and 16,082 is: 24,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482.96 : 59,202.36 = 16,082 : x
  2. Step 2: Convert to fraction form
    39,482.96/59,202.36 = 16,082/x
  3. Step 3: Cross multiply
    39,482.96x = 59,202.36 × 16,082
  4. Step 4: Simplify right side
    39,482.96x = 952,092,353.52
  5. Step 5: Solve for x
    x = 952,092,353.52/39,482.96
  6. Step 6: Final answer
    x = 24,114.01

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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.