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Finding the Fourth Proportional to 40,854.30, 56,380.95 and 22,948.38

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Solution

The fourth proportional to 40,854.30, 56,380.95 and 22,948.38 is: 31,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,854.30 : 56,380.95 = 22,948.38 : x
  2. Step 2: Convert to fraction form
    40,854.30/56,380.95 = 22,948.38/x
  3. Step 3: Cross multiply
    40,854.30x = 56,380.95 × 22,948.38
  4. Step 4: Simplify right side
    40,854.30x = 1,293,851,465.36
  5. Step 5: Solve for x
    x = 1,293,851,465.36/40,854.30
  6. Step 6: Final answer
    x = 31,669.90

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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.