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Finding the Fourth Proportional to 29,244.74, 43,842.50 and 11,705

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Solution

The fourth proportional to 29,244.74, 43,842.50 and 11,705 is: 17,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244.74 : 43,842.50 = 11,705 : x
  2. Step 2: Convert to fraction form
    29,244.74/43,842.50 = 11,705/x
  3. Step 3: Cross multiply
    29,244.74x = 43,842.50 × 11,705
  4. Step 4: Simplify right side
    29,244.74x = 513,176,462.50
  5. Step 5: Solve for x
    x = 513,176,462.50/29,244.74
  6. Step 6: Final answer
    x = 17,547.65

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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.