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Finding the Fourth Proportional to 32,222.52, 48,347.64 and 17,442

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Solution

The fourth proportional to 32,222.52, 48,347.64 and 17,442 is: 26,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.52 : 48,347.64 = 17,442 : x
  2. Step 2: Convert to fraction form
    32,222.52/48,347.64 = 17,442/x
  3. Step 3: Cross multiply
    32,222.52x = 48,347.64 × 17,442
  4. Step 4: Simplify right side
    32,222.52x = 843,279,536.88
  5. Step 5: Solve for x
    x = 843,279,536.88/32,222.52
  6. Step 6: Final answer
    x = 26,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.