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Finding the Fourth Proportional to 71,152.65, 98,171.46 and 40,946.54

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Solution

The fourth proportional to 71,152.65, 98,171.46 and 40,946.54 is: 56,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.65 : 98,171.46 = 40,946.54 : x
  2. Step 2: Convert to fraction form
    71,152.65/98,171.46 = 40,946.54/x
  3. Step 3: Cross multiply
    71,152.65x = 98,171.46 × 40,946.54
  4. Step 4: Simplify right side
    71,152.65x = 4,019,781,122.89
  5. Step 5: Solve for x
    x = 4,019,781,122.89/71,152.65
  6. Step 6: Final answer
    x = 56,495.17

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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.