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Finding the Fourth Proportional to 97,880.26, 146,800.95 and 47,938.90

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Solution

The fourth proportional to 97,880.26, 146,800.95 and 47,938.90 is: 71,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.26 : 146,800.95 = 47,938.90 : x
  2. Step 2: Convert to fraction form
    97,880.26/146,800.95 = 47,938.90/x
  3. Step 3: Cross multiply
    97,880.26x = 146,800.95 × 47,938.90
  4. Step 4: Simplify right side
    97,880.26x = 7,037,476,061.96
  5. Step 5: Solve for x
    x = 7,037,476,061.96/97,880.26
  6. Step 6: Final answer
    x = 71,898.83

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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.