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Finding the Fourth Proportional to 32,423.68, 44,742 and 18,280

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Solution

The fourth proportional to 32,423.68, 44,742 and 18,280 is: 25,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.68 : 44,742 = 18,280 : x
  2. Step 2: Convert to fraction form
    32,423.68/44,742 = 18,280/x
  3. Step 3: Cross multiply
    32,423.68x = 44,742 × 18,280
  4. Step 4: Simplify right side
    32,423.68x = 817,883,760
  5. Step 5: Solve for x
    x = 817,883,760/32,423.68
  6. Step 6: Final answer
    x = 25,224.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.