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Finding the Fourth Proportional to 97,228.67, 145,737.54 and 49,778.69

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Solution

The fourth proportional to 97,228.67, 145,737.54 and 49,778.69 is: 74,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228.67 : 145,737.54 = 49,778.69 : x
  2. Step 2: Convert to fraction form
    97,228.67/145,737.54 = 49,778.69/x
  3. Step 3: Cross multiply
    97,228.67x = 145,737.54 × 49,778.69
  4. Step 4: Simplify right side
    97,228.67x = 7,254,623,096.33
  5. Step 5: Solve for x
    x = 7,254,623,096.33/97,228.67
  6. Step 6: Final answer
    x = 74,614.04

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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.