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Finding the Fourth Proportional to 27,044.65, 40,567 and 7,054.13

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Solution

The fourth proportional to 27,044.65, 40,567 and 7,054.13 is: 10,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,044.65 : 40,567 = 7,054.13 : x
  2. Step 2: Convert to fraction form
    27,044.65/40,567 = 7,054.13/x
  3. Step 3: Cross multiply
    27,044.65x = 40,567 × 7,054.13
  4. Step 4: Simplify right side
    27,044.65x = 286,164,688.88
  5. Step 5: Solve for x
    x = 286,164,688.88/27,044.65
  6. Step 6: Final answer
    x = 10,581.20

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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.