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Finding the Fourth Proportional to 86,386.52, 129,491.01 and 33,066

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Solution

The fourth proportional to 86,386.52, 129,491.01 and 33,066 is: 49,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,386.52 : 129,491.01 = 33,066 : x
  2. Step 2: Convert to fraction form
    86,386.52/129,491.01 = 33,066/x
  3. Step 3: Cross multiply
    86,386.52x = 129,491.01 × 33,066
  4. Step 4: Simplify right side
    86,386.52x = 4,281,749,736.66
  5. Step 5: Solve for x
    x = 4,281,749,736.66/86,386.52
  6. Step 6: Final answer
    x = 49,565.02

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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.