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Finding the Fourth Proportional to 112,706.56, 169,148.16 and 49,570.56

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Solution

The fourth proportional to 112,706.56, 169,148.16 and 49,570.56 is: 74,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,706.56 : 169,148.16 = 49,570.56 : x
  2. Step 2: Convert to fraction form
    112,706.56/169,148.16 = 49,570.56/x
  3. Step 3: Cross multiply
    112,706.56x = 169,148.16 × 49,570.56
  4. Step 4: Simplify right side
    112,706.56x = 8,384,769,014.17
  5. Step 5: Solve for x
    x = 8,384,769,014.17/112,706.56
  6. Step 6: Final answer
    x = 74,394.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.