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Finding the Fourth Proportional to 83,316.25, 114,976.43 and 45,590.50

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Solution

The fourth proportional to 83,316.25, 114,976.43 and 45,590.50 is: 62,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316.25 : 114,976.43 = 45,590.50 : x
  2. Step 2: Convert to fraction form
    83,316.25/114,976.43 = 45,590.50/x
  3. Step 3: Cross multiply
    83,316.25x = 114,976.43 × 45,590.50
  4. Step 4: Simplify right side
    83,316.25x = 5,241,832,931.92
  5. Step 5: Solve for x
    x = 5,241,832,931.92/83,316.25
  6. Step 6: Final answer
    x = 62,914.89

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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.