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Finding the Fourth Proportional to 42,658.41, 63,996.95 and 13,078.55

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Solution

The fourth proportional to 42,658.41, 63,996.95 and 13,078.55 is: 19,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.41 : 63,996.95 = 13,078.55 : x
  2. Step 2: Convert to fraction form
    42,658.41/63,996.95 = 13,078.55/x
  3. Step 3: Cross multiply
    42,658.41x = 63,996.95 × 13,078.55
  4. Step 4: Simplify right side
    42,658.41x = 836,987,503.11
  5. Step 5: Solve for x
    x = 836,987,503.11/42,658.41
  6. Step 6: Final answer
    x = 19,620.69

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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.