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Finding the Fourth Proportional to 76,639.40, 114,952.26 and 26,711

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Solution

The fourth proportional to 76,639.40, 114,952.26 and 26,711 is: 40,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,639.40 : 114,952.26 = 26,711 : x
  2. Step 2: Convert to fraction form
    76,639.40/114,952.26 = 26,711/x
  3. Step 3: Cross multiply
    76,639.40x = 114,952.26 × 26,711
  4. Step 4: Simplify right side
    76,639.40x = 3,070,489,816.86
  5. Step 5: Solve for x
    x = 3,070,489,816.86/76,639.40
  6. Step 6: Final answer
    x = 40,064.12

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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.