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Finding the Fourth Proportional to 31,009.60, 42,794.49 and 17,582.50

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Solution

The fourth proportional to 31,009.60, 42,794.49 and 17,582.50 is: 24,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.60 : 42,794.49 = 17,582.50 : x
  2. Step 2: Convert to fraction form
    31,009.60/42,794.49 = 17,582.50/x
  3. Step 3: Cross multiply
    31,009.60x = 42,794.49 × 17,582.50
  4. Step 4: Simplify right side
    31,009.60x = 752,434,120.43
  5. Step 5: Solve for x
    x = 752,434,120.43/31,009.60
  6. Step 6: Final answer
    x = 24,264.55

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