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Finding the Fourth Proportional to 32,543, 44,909.34 and 17,639

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Solution

The fourth proportional to 32,543, 44,909.34 and 17,639 is: 24,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543 : 44,909.34 = 17,639 : x
  2. Step 2: Convert to fraction form
    32,543/44,909.34 = 17,639/x
  3. Step 3: Cross multiply
    32,543x = 44,909.34 × 17,639
  4. Step 4: Simplify right side
    32,543x = 792,155,848.26
  5. Step 5: Solve for x
    x = 792,155,848.26/32,543
  6. Step 6: Final answer
    x = 24,341.82

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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.