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Finding the Fourth Proportional to 31,503.20, 47,254.80 and 21,005.60

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Solution

The fourth proportional to 31,503.20, 47,254.80 and 21,005.60 is: 31,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.20 : 47,254.80 = 21,005.60 : x
  2. Step 2: Convert to fraction form
    31,503.20/47,254.80 = 21,005.60/x
  3. Step 3: Cross multiply
    31,503.20x = 47,254.80 × 21,005.60
  4. Step 4: Simplify right side
    31,503.20x = 992,615,426.88
  5. Step 5: Solve for x
    x = 992,615,426.88/31,503.20
  6. Step 6: Final answer
    x = 31,508.40

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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.