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Finding the Fourth Proportional to 46,367.80, 63,987.54 and 25,147

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Solution

The fourth proportional to 46,367.80, 63,987.54 and 25,147 is: 34,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,367.80 : 63,987.54 = 25,147 : x
  2. Step 2: Convert to fraction form
    46,367.80/63,987.54 = 25,147/x
  3. Step 3: Cross multiply
    46,367.80x = 63,987.54 × 25,147
  4. Step 4: Simplify right side
    46,367.80x = 1,609,094,668.38
  5. Step 5: Solve for x
    x = 1,609,094,668.38/46,367.80
  6. Step 6: Final answer
    x = 34,702.85

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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.