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Finding the Fourth Proportional to 28,051.96, 42,082.32 and 8,332.48

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Solution

The fourth proportional to 28,051.96, 42,082.32 and 8,332.48 is: 12,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,051.96 : 42,082.32 = 8,332.48 : x
  2. Step 2: Convert to fraction form
    28,051.96/42,082.32 = 8,332.48/x
  3. Step 3: Cross multiply
    28,051.96x = 42,082.32 × 8,332.48
  4. Step 4: Simplify right side
    28,051.96x = 350,650,089.75
  5. Step 5: Solve for x
    x = 350,650,089.75/28,051.96
  6. Step 6: Final answer
    x = 12,500.02

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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.