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Finding the Fourth Proportional to 32,413, 44,729.98 and 17,509

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Solution

The fourth proportional to 32,413, 44,729.98 and 17,509 is: 24,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413 : 44,729.98 = 17,509 : x
  2. Step 2: Convert to fraction form
    32,413/44,729.98 = 17,509/x
  3. Step 3: Cross multiply
    32,413x = 44,729.98 × 17,509
  4. Step 4: Simplify right side
    32,413x = 783,177,219.82
  5. Step 5: Solve for x
    x = 783,177,219.82/32,413
  6. Step 6: Final answer
    x = 24,162.44

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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.