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Finding the Fourth Proportional to 42,076.94, 63,106.77 and 15,781.10

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Solution

The fourth proportional to 42,076.94, 63,106.77 and 15,781.10 is: 23,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,076.94 : 63,106.77 = 15,781.10 : x
  2. Step 2: Convert to fraction form
    42,076.94/63,106.77 = 15,781.10/x
  3. Step 3: Cross multiply
    42,076.94x = 63,106.77 × 15,781.10
  4. Step 4: Simplify right side
    42,076.94x = 995,894,248.05
  5. Step 5: Solve for x
    x = 995,894,248.05/42,076.94
  6. Step 6: Final answer
    x = 23,668.41

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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.