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Finding the Fourth Proportional to 56,126.68, 77,454.66 and 30,976

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Solution

The fourth proportional to 56,126.68, 77,454.66 and 30,976 is: 42,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,126.68 : 77,454.66 = 30,976 : x
  2. Step 2: Convert to fraction form
    56,126.68/77,454.66 = 30,976/x
  3. Step 3: Cross multiply
    56,126.68x = 77,454.66 × 30,976
  4. Step 4: Simplify right side
    56,126.68x = 2,399,235,548.16
  5. Step 5: Solve for x
    x = 2,399,235,548.16/56,126.68
  6. Step 6: Final answer
    x = 42,746.79

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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.