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Finding the Fourth Proportional to 56,490.48, 77,959.31 and 33,833.16

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Solution

The fourth proportional to 56,490.48, 77,959.31 and 33,833.16 is: 46,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490.48 : 77,959.31 = 33,833.16 : x
  2. Step 2: Convert to fraction form
    56,490.48/77,959.31 = 33,833.16/x
  3. Step 3: Cross multiply
    56,490.48x = 77,959.31 × 33,833.16
  4. Step 4: Simplify right side
    56,490.48x = 2,637,609,639.55
  5. Step 5: Solve for x
    x = 2,637,609,639.55/56,490.48
  6. Step 6: Final answer
    x = 46,691.22

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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.