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Finding the Fourth Proportional to 40,838.38, 56,356.75 and 22,934.95

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Solution

The fourth proportional to 40,838.38, 56,356.75 and 22,934.95 is: 31,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,838.38 : 56,356.75 = 22,934.95 : x
  2. Step 2: Convert to fraction form
    40,838.38/56,356.75 = 22,934.95/x
  3. Step 3: Cross multiply
    40,838.38x = 56,356.75 × 22,934.95
  4. Step 4: Simplify right side
    40,838.38x = 1,292,539,243.41
  5. Step 5: Solve for x
    x = 1,292,539,243.41/40,838.38
  6. Step 6: Final answer
    x = 31,650.11

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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.