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Finding the Fourth Proportional to 74,448, 111,609.24 and 32,296.34

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Solution

The fourth proportional to 74,448, 111,609.24 and 32,296.34 is: 48,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,448 : 111,609.24 = 32,296.34 : x
  2. Step 2: Convert to fraction form
    74,448/111,609.24 = 32,296.34/x
  3. Step 3: Cross multiply
    74,448x = 111,609.24 × 32,296.34
  4. Step 4: Simplify right side
    74,448x = 3,604,569,404.14
  5. Step 5: Solve for x
    x = 3,604,569,404.14/74,448
  6. Step 6: Final answer
    x = 48,417.28

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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.