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Finding the Fourth Proportional to 47,223.68, 70,774.40 and 21,913.92

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Solution

The fourth proportional to 47,223.68, 70,774.40 and 21,913.92 is: 32,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223.68 : 70,774.40 = 21,913.92 : x
  2. Step 2: Convert to fraction form
    47,223.68/70,774.40 = 21,913.92/x
  3. Step 3: Cross multiply
    47,223.68x = 70,774.40 × 21,913.92
  4. Step 4: Simplify right side
    47,223.68x = 1,550,944,539.65
  5. Step 5: Solve for x
    x = 1,550,944,539.65/47,223.68
  6. Step 6: Final answer
    x = 32,842.52

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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.