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Finding the Fourth Proportional to 56,844.32, 78,445.68 and 34,184

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Solution

The fourth proportional to 56,844.32, 78,445.68 and 34,184 is: 47,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,844.32 : 78,445.68 = 34,184 : x
  2. Step 2: Convert to fraction form
    56,844.32/78,445.68 = 34,184/x
  3. Step 3: Cross multiply
    56,844.32x = 78,445.68 × 34,184
  4. Step 4: Simplify right side
    56,844.32x = 2,681,587,125.12
  5. Step 5: Solve for x
    x = 2,681,587,125.12/56,844.32
  6. Step 6: Final answer
    x = 47,174.23

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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.