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Finding the Fourth Proportional to 101,514.88, 152,291.76 and 31,381.84

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Solution

The fourth proportional to 101,514.88, 152,291.76 and 31,381.84 is: 47,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,514.88 : 152,291.76 = 31,381.84 : x
  2. Step 2: Convert to fraction form
    101,514.88/152,291.76 = 31,381.84/x
  3. Step 3: Cross multiply
    101,514.88x = 152,291.76 × 31,381.84
  4. Step 4: Simplify right side
    101,514.88x = 4,779,195,645.64
  5. Step 5: Solve for x
    x = 4,779,195,645.64/101,514.88
  6. Step 6: Final answer
    x = 47,078.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.