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Finding the Fourth Proportional to 78,118.12, 117,182.66 and 31,371

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Solution

The fourth proportional to 78,118.12, 117,182.66 and 31,371 is: 47,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118.12 : 117,182.66 = 31,371 : x
  2. Step 2: Convert to fraction form
    78,118.12/117,182.66 = 31,371/x
  3. Step 3: Cross multiply
    78,118.12x = 117,182.66 × 31,371
  4. Step 4: Simplify right side
    78,118.12x = 3,676,137,226.86
  5. Step 5: Solve for x
    x = 3,676,137,226.86/78,118.12
  6. Step 6: Final answer
    x = 47,058.70

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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.