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Finding the Fourth Proportional to 83,897.93, 115,781.47 and 45,657.83

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Solution

The fourth proportional to 83,897.93, 115,781.47 and 45,657.83 is: 63,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.93 : 115,781.47 = 45,657.83 : x
  2. Step 2: Convert to fraction form
    83,897.93/115,781.47 = 45,657.83/x
  3. Step 3: Cross multiply
    83,897.93x = 115,781.47 × 45,657.83
  4. Step 4: Simplify right side
    83,897.93x = 5,286,330,849.72
  5. Step 5: Solve for x
    x = 5,286,330,849.72/83,897.93
  6. Step 6: Final answer
    x = 63,009.07

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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.