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Finding the Fourth Proportional to 29,358, 44,037 and 8,581.50

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Solution

The fourth proportional to 29,358, 44,037 and 8,581.50 is: 12,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,358 : 44,037 = 8,581.50 : x
  2. Step 2: Convert to fraction form
    29,358/44,037 = 8,581.50/x
  3. Step 3: Cross multiply
    29,358x = 44,037 × 8,581.50
  4. Step 4: Simplify right side
    29,358x = 377,903,515.50
  5. Step 5: Solve for x
    x = 377,903,515.50/29,358
  6. Step 6: Final answer
    x = 12,872.25

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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.