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Finding the Fourth Proportional to 47,488.80, 71,233.20 and 19,783.20

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Solution

The fourth proportional to 47,488.80, 71,233.20 and 19,783.20 is: 29,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,488.80 : 71,233.20 = 19,783.20 : x
  2. Step 2: Convert to fraction form
    47,488.80/71,233.20 = 19,783.20/x
  3. Step 3: Cross multiply
    47,488.80x = 71,233.20 × 19,783.20
  4. Step 4: Simplify right side
    47,488.80x = 1,409,220,642.24
  5. Step 5: Solve for x
    x = 1,409,220,642.24/47,488.80
  6. Step 6: Final answer
    x = 29,674.80

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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.