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Finding the Fourth Proportional to 75,223.34, 112,834.79 and 19,063.28

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Solution

The fourth proportional to 75,223.34, 112,834.79 and 19,063.28 is: 28,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,223.34 : 112,834.79 = 19,063.28 : x
  2. Step 2: Convert to fraction form
    75,223.34/112,834.79 = 19,063.28/x
  3. Step 3: Cross multiply
    75,223.34x = 112,834.79 × 19,063.28
  4. Step 4: Simplify right side
    75,223.34x = 2,151,000,536.02
  5. Step 5: Solve for x
    x = 2,151,000,536.02/75,223.34
  6. Step 6: Final answer
    x = 28,594.86

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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.