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Finding the Fourth Proportional to 38,457.83, 53,095.83 and 29,488.09

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Solution

The fourth proportional to 38,457.83, 53,095.83 and 29,488.09 is: 40,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.83 : 53,095.83 = 29,488.09 : x
  2. Step 2: Convert to fraction form
    38,457.83/53,095.83 = 29,488.09/x
  3. Step 3: Cross multiply
    38,457.83x = 53,095.83 × 29,488.09
  4. Step 4: Simplify right side
    38,457.83x = 1,565,694,613.66
  5. Step 5: Solve for x
    x = 1,565,694,613.66/38,457.83
  6. Step 6: Final answer
    x = 40,711.99

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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.