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Finding the Fourth Proportional to 83,798.53, 115,642.11 and 46,072.78

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Solution

The fourth proportional to 83,798.53, 115,642.11 and 46,072.78 is: 63,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,798.53 : 115,642.11 = 46,072.78 : x
  2. Step 2: Convert to fraction form
    83,798.53/115,642.11 = 46,072.78/x
  3. Step 3: Cross multiply
    83,798.53x = 115,642.11 × 46,072.78
  4. Step 4: Simplify right side
    83,798.53x = 5,327,953,376.43
  5. Step 5: Solve for x
    x = 5,327,953,376.43/83,798.53
  6. Step 6: Final answer
    x = 63,580.51

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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.