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Finding the Fourth Proportional to 29,314.53, 43,981.11 and 9,588.60

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Solution

The fourth proportional to 29,314.53, 43,981.11 and 9,588.60 is: 14,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.53 : 43,981.11 = 9,588.60 : x
  2. Step 2: Convert to fraction form
    29,314.53/43,981.11 = 9,588.60/x
  3. Step 3: Cross multiply
    29,314.53x = 43,981.11 × 9,588.60
  4. Step 4: Simplify right side
    29,314.53x = 421,717,271.35
  5. Step 5: Solve for x
    x = 421,717,271.35/29,314.53
  6. Step 6: Final answer
    x = 14,385.95

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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.