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Finding the Fourth Proportional to 52,070.89, 71,859.16 and 31,938.90

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Solution

The fourth proportional to 52,070.89, 71,859.16 and 31,938.90 is: 44,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.89 : 71,859.16 = 31,938.90 : x
  2. Step 2: Convert to fraction form
    52,070.89/71,859.16 = 31,938.90/x
  3. Step 3: Cross multiply
    52,070.89x = 71,859.16 × 31,938.90
  4. Step 4: Simplify right side
    52,070.89x = 2,295,102,525.32
  5. Step 5: Solve for x
    x = 2,295,102,525.32/52,070.89
  6. Step 6: Final answer
    x = 44,076.50

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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.