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Finding the Fourth Proportional to 46,613.90, 64,301.90 and 27,747.38

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Solution

The fourth proportional to 46,613.90, 64,301.90 and 27,747.38 is: 38,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,613.90 : 64,301.90 = 27,747.38 : x
  2. Step 2: Convert to fraction form
    46,613.90/64,301.90 = 27,747.38/x
  3. Step 3: Cross multiply
    46,613.90x = 64,301.90 × 27,747.38
  4. Step 4: Simplify right side
    46,613.90x = 1,784,209,254.02
  5. Step 5: Solve for x
    x = 1,784,209,254.02/46,613.90
  6. Step 6: Final answer
    x = 38,276.34

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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.