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Finding the Fourth Proportional to 74,124.16, 111,207.02 and 29,782.04

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Solution

The fourth proportional to 74,124.16, 111,207.02 and 29,782.04 is: 44,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,124.16 : 111,207.02 = 29,782.04 : x
  2. Step 2: Convert to fraction form
    74,124.16/111,207.02 = 29,782.04/x
  3. Step 3: Cross multiply
    74,124.16x = 111,207.02 × 29,782.04
  4. Step 4: Simplify right side
    74,124.16x = 3,311,971,917.92
  5. Step 5: Solve for x
    x = 3,311,971,917.92/74,124.16
  6. Step 6: Final answer
    x = 44,681.41

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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.