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Finding the Fourth Proportional to 76,193.40, 105,111.86 and 49,344.72

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Solution

The fourth proportional to 76,193.40, 105,111.86 and 49,344.72 is: 68,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193.40 : 105,111.86 = 49,344.72 : x
  2. Step 2: Convert to fraction form
    76,193.40/105,111.86 = 49,344.72/x
  3. Step 3: Cross multiply
    76,193.40x = 105,111.86 × 49,344.72
  4. Step 4: Simplify right side
    76,193.40x = 5,186,715,300.38
  5. Step 5: Solve for x
    x = 5,186,715,300.38/76,193.40
  6. Step 6: Final answer
    x = 68,073.03

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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.