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Finding the Fourth Proportional to 41,070.88, 56,652.24 and 24,292

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Solution

The fourth proportional to 41,070.88, 56,652.24 and 24,292 is: 33,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,070.88 : 56,652.24 = 24,292 : x
  2. Step 2: Convert to fraction form
    41,070.88/56,652.24 = 24,292/x
  3. Step 3: Cross multiply
    41,070.88x = 56,652.24 × 24,292
  4. Step 4: Simplify right side
    41,070.88x = 1,376,196,214.08
  5. Step 5: Solve for x
    x = 1,376,196,214.08/41,070.88
  6. Step 6: Final answer
    x = 33,507.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.