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Finding the Fourth Proportional to 31,505.60, 47,258.40 and 17,652.80

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Solution

The fourth proportional to 31,505.60, 47,258.40 and 17,652.80 is: 26,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.60 : 47,258.40 = 17,652.80 : x
  2. Step 2: Convert to fraction form
    31,505.60/47,258.40 = 17,652.80/x
  3. Step 3: Cross multiply
    31,505.60x = 47,258.40 × 17,652.80
  4. Step 4: Simplify right side
    31,505.60x = 834,243,083.52
  5. Step 5: Solve for x
    x = 834,243,083.52/31,505.60
  6. Step 6: Final answer
    x = 26,479.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.