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Finding the Fourth Proportional to 52,851.98, 72,938.01 and 31,627.16

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Solution

The fourth proportional to 52,851.98, 72,938.01 and 31,627.16 is: 43,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851.98 : 72,938.01 = 31,627.16 : x
  2. Step 2: Convert to fraction form
    52,851.98/72,938.01 = 31,627.16/x
  3. Step 3: Cross multiply
    52,851.98x = 72,938.01 × 31,627.16
  4. Step 4: Simplify right side
    52,851.98x = 2,306,822,112.35
  5. Step 5: Solve for x
    x = 2,306,822,112.35/52,851.98
  6. Step 6: Final answer
    x = 43,646.84

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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.