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Finding the Fourth Proportional to 29,466, 44,207.10 and 8,689.50

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Solution

The fourth proportional to 29,466, 44,207.10 and 8,689.50 is: 13,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466 : 44,207.10 = 8,689.50 : x
  2. Step 2: Convert to fraction form
    29,466/44,207.10 = 8,689.50/x
  3. Step 3: Cross multiply
    29,466x = 44,207.10 × 8,689.50
  4. Step 4: Simplify right side
    29,466x = 384,137,595.45
  5. Step 5: Solve for x
    x = 384,137,595.45/29,466
  6. Step 6: Final answer
    x = 13,036.64

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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.