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Finding the Fourth Proportional to 65,590.32, 90,514.20 and 37,296

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Solution

The fourth proportional to 65,590.32, 90,514.20 and 37,296 is: 51,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,590.32 : 90,514.20 = 37,296 : x
  2. Step 2: Convert to fraction form
    65,590.32/90,514.20 = 37,296/x
  3. Step 3: Cross multiply
    65,590.32x = 90,514.20 × 37,296
  4. Step 4: Simplify right side
    65,590.32x = 3,375,817,603.20
  5. Step 5: Solve for x
    x = 3,375,817,603.20/65,590.32
  6. Step 6: Final answer
    x = 51,468.23

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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.