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Finding the Fourth Proportional to 80,498.24, 120,590.28 and 52,712

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Solution

The fourth proportional to 80,498.24, 120,590.28 and 52,712 is: 78,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,498.24 : 120,590.28 = 52,712 : x
  2. Step 2: Convert to fraction form
    80,498.24/120,590.28 = 52,712/x
  3. Step 3: Cross multiply
    80,498.24x = 120,590.28 × 52,712
  4. Step 4: Simplify right side
    80,498.24x = 6,356,554,839.36
  5. Step 5: Solve for x
    x = 6,356,554,839.36/80,498.24
  6. Step 6: Final answer
    x = 78,965.14

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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.