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Finding the Fourth Proportional to 83,651.10, 115,438.62 and 45,410.64

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Solution

The fourth proportional to 83,651.10, 115,438.62 and 45,410.64 is: 62,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,651.10 : 115,438.62 = 45,410.64 : x
  2. Step 2: Convert to fraction form
    83,651.10/115,438.62 = 45,410.64/x
  3. Step 3: Cross multiply
    83,651.10x = 115,438.62 × 45,410.64
  4. Step 4: Simplify right side
    83,651.10x = 5,242,141,614.92
  5. Step 5: Solve for x
    x = 5,242,141,614.92/83,651.10
  6. Step 6: Final answer
    x = 62,666.74

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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.