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Finding the Fourth Proportional to 42,807.92, 59,077.56 and 23,946.32

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Solution

The fourth proportional to 42,807.92, 59,077.56 and 23,946.32 is: 33,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.92 : 59,077.56 = 23,946.32 : x
  2. Step 2: Convert to fraction form
    42,807.92/59,077.56 = 23,946.32/x
  3. Step 3: Cross multiply
    42,807.92x = 59,077.56 × 23,946.32
  4. Step 4: Simplify right side
    42,807.92x = 1,414,690,156.58
  5. Step 5: Solve for x
    x = 1,414,690,156.58/42,807.92
  6. Step 6: Final answer
    x = 33,047.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.