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Finding the Fourth Proportional to 82,457.40, 123,714.90 and 29,868.60

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Solution

The fourth proportional to 82,457.40, 123,714.90 and 29,868.60 is: 44,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,457.40 : 123,714.90 = 29,868.60 : x
  2. Step 2: Convert to fraction form
    82,457.40/123,714.90 = 29,868.60/x
  3. Step 3: Cross multiply
    82,457.40x = 123,714.90 × 29,868.60
  4. Step 4: Simplify right side
    82,457.40x = 3,695,190,862.14
  5. Step 5: Solve for x
    x = 3,695,190,862.14/82,457.40
  6. Step 6: Final answer
    x = 44,813.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.