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Finding the Fourth Proportional to 31,577.70, 47,135.35 and 27,841.10

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Solution

The fourth proportional to 31,577.70, 47,135.35 and 27,841.10 is: 41,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.70 : 47,135.35 = 27,841.10 : x
  2. Step 2: Convert to fraction form
    31,577.70/47,135.35 = 27,841.10/x
  3. Step 3: Cross multiply
    31,577.70x = 47,135.35 × 27,841.10
  4. Step 4: Simplify right side
    31,577.70x = 1,312,300,041.12
  5. Step 5: Solve for x
    x = 1,312,300,041.12/31,577.70
  6. Step 6: Final answer
    x = 41,557.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.