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Finding the Fourth Proportional to 29,343, 44,020.98 and 10,875

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Solution

The fourth proportional to 29,343, 44,020.98 and 10,875 is: 16,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343 : 44,020.98 = 10,875 : x
  2. Step 2: Convert to fraction form
    29,343/44,020.98 = 10,875/x
  3. Step 3: Cross multiply
    29,343x = 44,020.98 × 10,875
  4. Step 4: Simplify right side
    29,343x = 478,728,157.50
  5. Step 5: Solve for x
    x = 478,728,157.50/29,343
  6. Step 6: Final answer
    x = 16,314.90

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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.