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Finding the Fourth Proportional to 40,938.30, 56,494.07 and 22,788.90

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Solution

The fourth proportional to 40,938.30, 56,494.07 and 22,788.90 is: 31,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938.30 : 56,494.07 = 22,788.90 : x
  2. Step 2: Convert to fraction form
    40,938.30/56,494.07 = 22,788.90/x
  3. Step 3: Cross multiply
    40,938.30x = 56,494.07 × 22,788.90
  4. Step 4: Simplify right side
    40,938.30x = 1,287,437,711.82
  5. Step 5: Solve for x
    x = 1,287,437,711.82/40,938.30
  6. Step 6: Final answer
    x = 31,448.25

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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.