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Finding the Fourth Proportional to 83,389.50, 115,095.38 and 53,167.86

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Solution

The fourth proportional to 83,389.50, 115,095.38 and 53,167.86 is: 73,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,389.50 : 115,095.38 = 53,167.86 : x
  2. Step 2: Convert to fraction form
    83,389.50/115,095.38 = 53,167.86/x
  3. Step 3: Cross multiply
    83,389.50x = 115,095.38 × 53,167.86
  4. Step 4: Simplify right side
    83,389.50x = 6,119,374,784.65
  5. Step 5: Solve for x
    x = 6,119,374,784.65/83,389.50
  6. Step 6: Final answer
    x = 73,383.04

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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.