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Finding the Fourth Proportional to 83,798.61, 115,642.08 and 46,072.86

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Solution

The fourth proportional to 83,798.61, 115,642.08 and 46,072.86 is: 63,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,798.61 : 115,642.08 = 46,072.86 : x
  2. Step 2: Convert to fraction form
    83,798.61/115,642.08 = 46,072.86/x
  3. Step 3: Cross multiply
    83,798.61x = 115,642.08 × 46,072.86
  4. Step 4: Simplify right side
    83,798.61x = 5,327,960,668.56
  5. Step 5: Solve for x
    x = 5,327,960,668.56/83,798.61
  6. Step 6: Final answer
    x = 63,580.54

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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.