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Finding the Fourth Proportional to 48,164.50, 66,467.01 and 31,397.50

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Solution

The fourth proportional to 48,164.50, 66,467.01 and 31,397.50 is: 43,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,164.50 : 66,467.01 = 31,397.50 : x
  2. Step 2: Convert to fraction form
    48,164.50/66,467.01 = 31,397.50/x
  3. Step 3: Cross multiply
    48,164.50x = 66,467.01 × 31,397.50
  4. Step 4: Simplify right side
    48,164.50x = 2,086,897,946.48
  5. Step 5: Solve for x
    x = 2,086,897,946.48/48,164.50
  6. Step 6: Final answer
    x = 43,328.55

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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.