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Finding the Fourth Proportional to 46,613.65, 64,301.56 and 27,747.13

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Solution

The fourth proportional to 46,613.65, 64,301.56 and 27,747.13 is: 38,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,613.65 : 64,301.56 = 27,747.13 : x
  2. Step 2: Convert to fraction form
    46,613.65/64,301.56 = 27,747.13/x
  3. Step 3: Cross multiply
    46,613.65x = 64,301.56 × 27,747.13
  4. Step 4: Simplify right side
    46,613.65x = 1,784,183,744.52
  5. Step 5: Solve for x
    x = 1,784,183,744.52/46,613.65
  6. Step 6: Final answer
    x = 38,275.99

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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.