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Finding the Fourth Proportional to 77,145.77, 115,613.55 and 47,170.50

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Solution

The fourth proportional to 77,145.77, 115,613.55 and 47,170.50 is: 70,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,145.77 : 115,613.55 = 47,170.50 : x
  2. Step 2: Convert to fraction form
    77,145.77/115,613.55 = 47,170.50/x
  3. Step 3: Cross multiply
    77,145.77x = 115,613.55 × 47,170.50
  4. Step 4: Simplify right side
    77,145.77x = 5,453,548,960.28
  5. Step 5: Solve for x
    x = 5,453,548,960.28/77,145.77
  6. Step 6: Final answer
    x = 70,691.49

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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.