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Finding the Fourth Proportional to 32,536, 44,899.68 and 17,632

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Solution

The fourth proportional to 32,536, 44,899.68 and 17,632 is: 24,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536 : 44,899.68 = 17,632 : x
  2. Step 2: Convert to fraction form
    32,536/44,899.68 = 17,632/x
  3. Step 3: Cross multiply
    32,536x = 44,899.68 × 17,632
  4. Step 4: Simplify right side
    32,536x = 791,671,157.76
  5. Step 5: Solve for x
    x = 791,671,157.76/32,536
  6. Step 6: Final answer
    x = 24,332.16

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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.