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Finding the Fourth Proportional to 74,124.66, 111,207.76 and 29,782.54

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Solution

The fourth proportional to 74,124.66, 111,207.76 and 29,782.54 is: 44,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,124.66 : 111,207.76 = 29,782.54 : x
  2. Step 2: Convert to fraction form
    74,124.66/111,207.76 = 29,782.54/x
  3. Step 3: Cross multiply
    74,124.66x = 111,207.76 × 29,782.54
  4. Step 4: Simplify right side
    74,124.66x = 3,312,049,560.51
  5. Step 5: Solve for x
    x = 3,312,049,560.51/74,124.66
  6. Step 6: Final answer
    x = 44,682.16

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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.