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Finding the Fourth Proportional to 102,082.86, 153,124.26 and 31,967.64

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Solution

The fourth proportional to 102,082.86, 153,124.26 and 31,967.64 is: 47,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.86 : 153,124.26 = 31,967.64 : x
  2. Step 2: Convert to fraction form
    102,082.86/153,124.26 = 31,967.64/x
  3. Step 3: Cross multiply
    102,082.86x = 153,124.26 × 31,967.64
  4. Step 4: Simplify right side
    102,082.86x = 4,895,021,218.95
  5. Step 5: Solve for x
    x = 4,895,021,218.95/102,082.86
  6. Step 6: Final answer
    x = 47,951.45

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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.