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Finding the Fourth Proportional to 75,121.71, 103,668.03 and 46,827.42

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Solution

The fourth proportional to 75,121.71, 103,668.03 and 46,827.42 is: 64,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,121.71 : 103,668.03 = 46,827.42 : x
  2. Step 2: Convert to fraction form
    75,121.71/103,668.03 = 46,827.42/x
  3. Step 3: Cross multiply
    75,121.71x = 103,668.03 × 46,827.42
  4. Step 4: Simplify right side
    75,121.71x = 4,854,506,381.38
  5. Step 5: Solve for x
    x = 4,854,506,381.38/75,121.71
  6. Step 6: Final answer
    x = 64,621.88

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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.