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Finding the Fourth Proportional to 108,466, 162,680.64 and 29,561.74

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Solution

The fourth proportional to 108,466, 162,680.64 and 29,561.74 is: 44,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,466 : 162,680.64 = 29,561.74 : x
  2. Step 2: Convert to fraction form
    108,466/162,680.64 = 29,561.74/x
  3. Step 3: Cross multiply
    108,466x = 162,680.64 × 29,561.74
  4. Step 4: Simplify right side
    108,466x = 4,809,122,782.71
  5. Step 5: Solve for x
    x = 4,809,122,782.71/108,466
  6. Step 6: Final answer
    x = 44,337.61

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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.