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Finding the Fourth Proportional to 56,484, 77,947.92 and 31,333.68

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Solution

The fourth proportional to 56,484, 77,947.92 and 31,333.68 is: 43,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,484 : 77,947.92 = 31,333.68 : x
  2. Step 2: Convert to fraction form
    56,484/77,947.92 = 31,333.68/x
  3. Step 3: Cross multiply
    56,484x = 77,947.92 × 31,333.68
  4. Step 4: Simplify right side
    56,484x = 2,442,395,181.95
  5. Step 5: Solve for x
    x = 2,442,395,181.95/56,484
  6. Step 6: Final answer
    x = 43,240.48

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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.