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Finding the Fourth Proportional to 32,417, 44,734.34 and 18,269

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Solution

The fourth proportional to 32,417, 44,734.34 and 18,269 is: 25,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417 : 44,734.34 = 18,269 : x
  2. Step 2: Convert to fraction form
    32,417/44,734.34 = 18,269/x
  3. Step 3: Cross multiply
    32,417x = 44,734.34 × 18,269
  4. Step 4: Simplify right side
    32,417x = 817,251,657.46
  5. Step 5: Solve for x
    x = 817,251,657.46/32,417
  6. Step 6: Final answer
    x = 25,210.59

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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.