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Finding the Fourth Proportional to 47,762.76, 71,584.74 and 25,521.24

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Solution

The fourth proportional to 47,762.76, 71,584.74 and 25,521.24 is: 38,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762.76 : 71,584.74 = 25,521.24 : x
  2. Step 2: Convert to fraction form
    47,762.76/71,584.74 = 25,521.24/x
  3. Step 3: Cross multiply
    47,762.76x = 71,584.74 × 25,521.24
  4. Step 4: Simplify right side
    47,762.76x = 1,826,931,329.88
  5. Step 5: Solve for x
    x = 1,826,931,329.88/47,762.76
  6. Step 6: Final answer
    x = 38,250.12

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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.