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Finding the Fourth Proportional to 56,577.75, 78,078.51 and 31,084.44

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Solution

The fourth proportional to 56,577.75, 78,078.51 and 31,084.44 is: 42,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,577.75 : 78,078.51 = 31,084.44 : x
  2. Step 2: Convert to fraction form
    56,577.75/78,078.51 = 31,084.44/x
  3. Step 3: Cross multiply
    56,577.75x = 78,078.51 × 31,084.44
  4. Step 4: Simplify right side
    56,577.75x = 2,427,026,759.38
  5. Step 5: Solve for x
    x = 2,427,026,759.38/56,577.75
  6. Step 6: Final answer
    x = 42,897.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.