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Finding the Fourth Proportional to 29,377.70, 44,061.98 and 9,656.12

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Solution

The fourth proportional to 29,377.70, 44,061.98 and 9,656.12 is: 14,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,377.70 : 44,061.98 = 9,656.12 : x
  2. Step 2: Convert to fraction form
    29,377.70/44,061.98 = 9,656.12/x
  3. Step 3: Cross multiply
    29,377.70x = 44,061.98 × 9,656.12
  4. Step 4: Simplify right side
    29,377.70x = 425,467,497.73
  5. Step 5: Solve for x
    x = 425,467,497.73/29,377.70
  6. Step 6: Final answer
    x = 14,482.67

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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.