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Finding the Fourth Proportional to 42,058.54, 63,078.09 and 12,469.24

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Solution

The fourth proportional to 42,058.54, 63,078.09 and 12,469.24 is: 18,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,058.54 : 63,078.09 = 12,469.24 : x
  2. Step 2: Convert to fraction form
    42,058.54/63,078.09 = 12,469.24/x
  3. Step 3: Cross multiply
    42,058.54x = 63,078.09 × 12,469.24
  4. Step 4: Simplify right side
    42,058.54x = 786,535,875.04
  5. Step 5: Solve for x
    x = 786,535,875.04/42,058.54
  6. Step 6: Final answer
    x = 18,700.98

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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.