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Finding the Fourth Proportional to 42,778.24, 59,036.16 and 23,914.24

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Solution

The fourth proportional to 42,778.24, 59,036.16 and 23,914.24 is: 33,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778.24 : 59,036.16 = 23,914.24 : x
  2. Step 2: Convert to fraction form
    42,778.24/59,036.16 = 23,914.24/x
  3. Step 3: Cross multiply
    42,778.24x = 59,036.16 × 23,914.24
  4. Step 4: Simplify right side
    42,778.24x = 1,411,804,898.92
  5. Step 5: Solve for x
    x = 1,411,804,898.92/42,778.24
  6. Step 6: Final answer
    x = 33,002.87

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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.