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Finding the Fourth Proportional to 71,005.68, 106,436.60 and 46,061.60

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Solution

The fourth proportional to 71,005.68, 106,436.60 and 46,061.60 is: 69,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.68 : 106,436.60 = 46,061.60 : x
  2. Step 2: Convert to fraction form
    71,005.68/106,436.60 = 46,061.60/x
  3. Step 3: Cross multiply
    71,005.68x = 106,436.60 × 46,061.60
  4. Step 4: Simplify right side
    71,005.68x = 4,902,640,094.56
  5. Step 5: Solve for x
    x = 4,902,640,094.56/71,005.68
  6. Step 6: Final answer
    x = 69,045.75

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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.