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Finding the Fourth Proportional to 32,535, 44,898.30 and 17,631

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Solution

The fourth proportional to 32,535, 44,898.30 and 17,631 is: 24,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,535 : 44,898.30 = 17,631 : x
  2. Step 2: Convert to fraction form
    32,535/44,898.30 = 17,631/x
  3. Step 3: Cross multiply
    32,535x = 44,898.30 × 17,631
  4. Step 4: Simplify right side
    32,535x = 791,601,927.30
  5. Step 5: Solve for x
    x = 791,601,927.30/32,535
  6. Step 6: Final answer
    x = 24,330.78

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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.