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Finding the Fourth Proportional to 42,410.32, 63,494.52 and 33,658

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Solution

The fourth proportional to 42,410.32, 63,494.52 and 33,658 is: 50,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,410.32 : 63,494.52 = 33,658 : x
  2. Step 2: Convert to fraction form
    42,410.32/63,494.52 = 33,658/x
  3. Step 3: Cross multiply
    42,410.32x = 63,494.52 × 33,658
  4. Step 4: Simplify right side
    42,410.32x = 2,137,098,554.16
  5. Step 5: Solve for x
    x = 2,137,098,554.16/42,410.32
  6. Step 6: Final answer
    x = 50,391.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.