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Finding the Fourth Proportional to 86,034, 129,055.86 and 30,630

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Solution

The fourth proportional to 86,034, 129,055.86 and 30,630 is: 45,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,034 : 129,055.86 = 30,630 : x
  2. Step 2: Convert to fraction form
    86,034/129,055.86 = 30,630/x
  3. Step 3: Cross multiply
    86,034x = 129,055.86 × 30,630
  4. Step 4: Simplify right side
    86,034x = 3,952,980,991.80
  5. Step 5: Solve for x
    x = 3,952,980,991.80/86,034
  6. Step 6: Final answer
    x = 45,946.73

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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.