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Finding the Fourth Proportional to 77,287.96, 106,661.38 and 43,294.46

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Solution

The fourth proportional to 77,287.96, 106,661.38 and 43,294.46 is: 59,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287.96 : 106,661.38 = 43,294.46 : x
  2. Step 2: Convert to fraction form
    77,287.96/106,661.38 = 43,294.46/x
  3. Step 3: Cross multiply
    77,287.96x = 106,661.38 × 43,294.46
  4. Step 4: Simplify right side
    77,287.96x = 4,617,846,849.95
  5. Step 5: Solve for x
    x = 4,617,846,849.95/77,287.96
  6. Step 6: Final answer
    x = 59,748.59

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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.