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Finding the Fourth Proportional to 84,514.40, 116,637.84 and 50,523

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Solution

The fourth proportional to 84,514.40, 116,637.84 and 50,523 is: 69,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,514.40 : 116,637.84 = 50,523 : x
  2. Step 2: Convert to fraction form
    84,514.40/116,637.84 = 50,523/x
  3. Step 3: Cross multiply
    84,514.40x = 116,637.84 × 50,523
  4. Step 4: Simplify right side
    84,514.40x = 5,892,893,590.32
  5. Step 5: Solve for x
    x = 5,892,893,590.32/84,514.40
  6. Step 6: Final answer
    x = 69,726.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.