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Finding the Fourth Proportional to 86,317.30, 129,465.42 and 23,142.16

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Solution

The fourth proportional to 86,317.30, 129,465.42 and 23,142.16 is: 34,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,317.30 : 129,465.42 = 23,142.16 : x
  2. Step 2: Convert to fraction form
    86,317.30/129,465.42 = 23,142.16/x
  3. Step 3: Cross multiply
    86,317.30x = 129,465.42 × 23,142.16
  4. Step 4: Simplify right side
    86,317.30x = 2,996,109,464.11
  5. Step 5: Solve for x
    x = 2,996,109,464.11/86,317.30
  6. Step 6: Final answer
    x = 34,710.42

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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.