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Finding the Fourth Proportional to 86,778, 119,754.72 and 47,034

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Solution

The fourth proportional to 86,778, 119,754.72 and 47,034 is: 64,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,778 : 119,754.72 = 47,034 : x
  2. Step 2: Convert to fraction form
    86,778/119,754.72 = 47,034/x
  3. Step 3: Cross multiply
    86,778x = 119,754.72 × 47,034
  4. Step 4: Simplify right side
    86,778x = 5,632,543,500.48
  5. Step 5: Solve for x
    x = 5,632,543,500.48/86,778
  6. Step 6: Final answer
    x = 64,907.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.