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Finding the Fourth Proportional to 32,536.32, 44,899.84 and 17,632

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Solution

The fourth proportional to 32,536.32, 44,899.84 and 17,632 is: 24,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.32 : 44,899.84 = 17,632 : x
  2. Step 2: Convert to fraction form
    32,536.32/44,899.84 = 17,632/x
  3. Step 3: Cross multiply
    32,536.32x = 44,899.84 × 17,632
  4. Step 4: Simplify right side
    32,536.32x = 791,673,978.88
  5. Step 5: Solve for x
    x = 791,673,978.88/32,536.32
  6. Step 6: Final answer
    x = 24,332.01

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