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Finding the Fourth Proportional to 32,838.39, 45,316.80 and 18,498.17

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Solution

The fourth proportional to 32,838.39, 45,316.80 and 18,498.17 is: 25,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.39 : 45,316.80 = 18,498.17 : x
  2. Step 2: Convert to fraction form
    32,838.39/45,316.80 = 18,498.17/x
  3. Step 3: Cross multiply
    32,838.39x = 45,316.80 × 18,498.17
  4. Step 4: Simplify right side
    32,838.39x = 838,277,983.55
  5. Step 5: Solve for x
    x = 838,277,983.55/32,838.39
  6. Step 6: Final answer
    x = 25,527.38

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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.