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Finding the Fourth Proportional to 83,897.96, 115,779.38 and 45,657.52

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Solution

The fourth proportional to 83,897.96, 115,779.38 and 45,657.52 is: 63,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.96 : 115,779.38 = 45,657.52 : x
  2. Step 2: Convert to fraction form
    83,897.96/115,779.38 = 45,657.52/x
  3. Step 3: Cross multiply
    83,897.96x = 115,779.38 × 45,657.52
  4. Step 4: Simplify right side
    83,897.96x = 5,286,199,357.94
  5. Step 5: Solve for x
    x = 5,286,199,357.94/83,897.96
  6. Step 6: Final answer
    x = 63,007.48

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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.