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Finding the Fourth Proportional to 31,501.60, 47,252.40 and 17,648.80

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Solution

The fourth proportional to 31,501.60, 47,252.40 and 17,648.80 is: 26,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.60 : 47,252.40 = 17,648.80 : x
  2. Step 2: Convert to fraction form
    31,501.60/47,252.40 = 17,648.80/x
  3. Step 3: Cross multiply
    31,501.60x = 47,252.40 × 17,648.80
  4. Step 4: Simplify right side
    31,501.60x = 833,948,157.12
  5. Step 5: Solve for x
    x = 833,948,157.12/31,501.60
  6. Step 6: Final answer
    x = 26,473.20

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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.