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Finding the Fourth Proportional to 86,533.57, 129,794.22 and 23,357.30

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Solution

The fourth proportional to 86,533.57, 129,794.22 and 23,357.30 is: 35,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,533.57 : 129,794.22 = 23,357.30 : x
  2. Step 2: Convert to fraction form
    86,533.57/129,794.22 = 23,357.30/x
  3. Step 3: Cross multiply
    86,533.57x = 129,794.22 × 23,357.30
  4. Step 4: Simplify right side
    86,533.57x = 3,031,642,534.81
  5. Step 5: Solve for x
    x = 3,031,642,534.81/86,533.57
  6. Step 6: Final answer
    x = 35,034.29

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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.