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Finding the Fourth Proportional to 83,705.47, 115,514.40 and 45,465.77

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Solution

The fourth proportional to 83,705.47, 115,514.40 and 45,465.77 is: 62,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.47 : 115,514.40 = 45,465.77 : x
  2. Step 2: Convert to fraction form
    83,705.47/115,514.40 = 45,465.77/x
  3. Step 3: Cross multiply
    83,705.47x = 115,514.40 × 45,465.77
  4. Step 4: Simplify right side
    83,705.47x = 5,251,950,450.85
  5. Step 5: Solve for x
    x = 5,251,950,450.85/83,705.47
  6. Step 6: Final answer
    x = 62,743.21

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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.