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Finding the Fourth Proportional to 24,051.78, 36,077.90 and 7,411.95

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Solution

The fourth proportional to 24,051.78, 36,077.90 and 7,411.95 is: 11,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051.78 : 36,077.90 = 7,411.95 : x
  2. Step 2: Convert to fraction form
    24,051.78/36,077.90 = 7,411.95/x
  3. Step 3: Cross multiply
    24,051.78x = 36,077.90 × 7,411.95
  4. Step 4: Simplify right side
    24,051.78x = 267,407,553.85
  5. Step 5: Solve for x
    x = 267,407,553.85/24,051.78
  6. Step 6: Final answer
    x = 11,117.99

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1.5x scale

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.