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Finding the Fourth Proportional to 40,599.52, 56,038.65 and 27,854.78

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Solution

The fourth proportional to 40,599.52, 56,038.65 and 27,854.78 is: 38,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,599.52 : 56,038.65 = 27,854.78 : x
  2. Step 2: Convert to fraction form
    40,599.52/56,038.65 = 27,854.78/x
  3. Step 3: Cross multiply
    40,599.52x = 56,038.65 × 27,854.78
  4. Step 4: Simplify right side
    40,599.52x = 1,560,944,039.28
  5. Step 5: Solve for x
    x = 1,560,944,039.28/40,599.52
  6. Step 6: Final answer
    x = 38,447.35

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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.