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Finding the Fourth Proportional to 31,501.60, 47,252.40 and 22,818.40

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Solution

The fourth proportional to 31,501.60, 47,252.40 and 22,818.40 is: 34,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.60 : 47,252.40 = 22,818.40 : x
  2. Step 2: Convert to fraction form
    31,501.60/47,252.40 = 22,818.40/x
  3. Step 3: Cross multiply
    31,501.60x = 47,252.40 × 22,818.40
  4. Step 4: Simplify right side
    31,501.60x = 1,078,224,164.16
  5. Step 5: Solve for x
    x = 1,078,224,164.16/31,501.60
  6. Step 6: Final answer
    x = 34,227.60

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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.