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Finding the Fourth Proportional to 55,312.64, 76,338 and 31,442.90

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Solution

The fourth proportional to 55,312.64, 76,338 and 31,442.90 is: 43,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,312.64 : 76,338 = 31,442.90 : x
  2. Step 2: Convert to fraction form
    55,312.64/76,338 = 31,442.90/x
  3. Step 3: Cross multiply
    55,312.64x = 76,338 × 31,442.90
  4. Step 4: Simplify right side
    55,312.64x = 2,400,288,100.20
  5. Step 5: Solve for x
    x = 2,400,288,100.20/55,312.64
  6. Step 6: Final answer
    x = 43,394.93

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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.