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Finding the Fourth Proportional to 32,842, 45,323.08 and 17,938.96

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Solution

The fourth proportional to 32,842, 45,323.08 and 17,938.96 is: 24,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842 : 45,323.08 = 17,938.96 : x
  2. Step 2: Convert to fraction form
    32,842/45,323.08 = 17,938.96/x
  3. Step 3: Cross multiply
    32,842x = 45,323.08 × 17,938.96
  4. Step 4: Simplify right side
    32,842x = 813,048,919.20
  5. Step 5: Solve for x
    x = 813,048,919.20/32,842
  6. Step 6: Final answer
    x = 24,756.38

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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.