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Finding the Fourth Proportional to 47,869.65, 71,804.48 and 47,800.46

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Solution

The fourth proportional to 47,869.65, 71,804.48 and 47,800.46 is: 71,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869.65 : 71,804.48 = 47,800.46 : x
  2. Step 2: Convert to fraction form
    47,869.65/71,804.48 = 47,800.46/x
  3. Step 3: Cross multiply
    47,869.65x = 71,804.48 × 47,800.46
  4. Step 4: Simplify right side
    47,869.65x = 3,432,287,114.57
  5. Step 5: Solve for x
    x = 3,432,287,114.57/47,869.65
  6. Step 6: Final answer
    x = 71,700.69

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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.