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Finding the Fourth Proportional to 29,740.50, 44,618.04 and 8,964

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Solution

The fourth proportional to 29,740.50, 44,618.04 and 8,964 is: 13,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740.50 : 44,618.04 = 8,964 : x
  2. Step 2: Convert to fraction form
    29,740.50/44,618.04 = 8,964/x
  3. Step 3: Cross multiply
    29,740.50x = 44,618.04 × 8,964
  4. Step 4: Simplify right side
    29,740.50x = 399,956,110.56
  5. Step 5: Solve for x
    x = 399,956,110.56/29,740.50
  6. Step 6: Final answer
    x = 13,448.20

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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.