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Finding the Fourth Proportional to 32,465, 44,801.74 and 17,561

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Solution

The fourth proportional to 32,465, 44,801.74 and 17,561 is: 24,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465 : 44,801.74 = 17,561 : x
  2. Step 2: Convert to fraction form
    32,465/44,801.74 = 17,561/x
  3. Step 3: Cross multiply
    32,465x = 44,801.74 × 17,561
  4. Step 4: Simplify right side
    32,465x = 786,763,356.14
  5. Step 5: Solve for x
    x = 786,763,356.14/32,465
  6. Step 6: Final answer
    x = 24,234.20

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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.