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Finding the Fourth Proportional to 29,363.50, 44,045.25 and 8,587

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Solution

The fourth proportional to 29,363.50, 44,045.25 and 8,587 is: 12,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,363.50 : 44,045.25 = 8,587 : x
  2. Step 2: Convert to fraction form
    29,363.50/44,045.25 = 8,587/x
  3. Step 3: Cross multiply
    29,363.50x = 44,045.25 × 8,587
  4. Step 4: Simplify right side
    29,363.50x = 378,216,561.75
  5. Step 5: Solve for x
    x = 378,216,561.75/29,363.50
  6. Step 6: Final answer
    x = 12,880.50

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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.