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Finding the Fourth Proportional to 29,582, 40,823.16 and 20,167.04

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Solution

The fourth proportional to 29,582, 40,823.16 and 20,167.04 is: 27,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582 : 40,823.16 = 20,167.04 : x
  2. Step 2: Convert to fraction form
    29,582/40,823.16 = 20,167.04/x
  3. Step 3: Cross multiply
    29,582x = 40,823.16 × 20,167.04
  4. Step 4: Simplify right side
    29,582x = 823,282,300.65
  5. Step 5: Solve for x
    x = 823,282,300.65/29,582
  6. Step 6: Final answer
    x = 27,830.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.