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Finding the Fourth Proportional to 78,267.72, 117,404.82 and 31,521

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Solution

The fourth proportional to 78,267.72, 117,404.82 and 31,521 is: 47,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,267.72 : 117,404.82 = 31,521 : x
  2. Step 2: Convert to fraction form
    78,267.72/117,404.82 = 31,521/x
  3. Step 3: Cross multiply
    78,267.72x = 117,404.82 × 31,521
  4. Step 4: Simplify right side
    78,267.72x = 3,700,717,331.22
  5. Step 5: Solve for x
    x = 3,700,717,331.22/78,267.72
  6. Step 6: Final answer
    x = 47,282.80

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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.