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Finding the Fourth Proportional to 82,244.92, 113,498.04 and 46,435

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Solution

The fourth proportional to 82,244.92, 113,498.04 and 46,435 is: 64,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,244.92 : 113,498.04 = 46,435 : x
  2. Step 2: Convert to fraction form
    82,244.92/113,498.04 = 46,435/x
  3. Step 3: Cross multiply
    82,244.92x = 113,498.04 × 46,435
  4. Step 4: Simplify right side
    82,244.92x = 5,270,281,487.40
  5. Step 5: Solve for x
    x = 5,270,281,487.40/82,244.92
  6. Step 6: Final answer
    x = 64,080.33

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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.