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Finding the Fourth Proportional to 34,419.84, 47,500.38 and 20,988.06

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Solution

The fourth proportional to 34,419.84, 47,500.38 and 20,988.06 is: 28,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,419.84 : 47,500.38 = 20,988.06 : x
  2. Step 2: Convert to fraction form
    34,419.84/47,500.38 = 20,988.06/x
  3. Step 3: Cross multiply
    34,419.84x = 47,500.38 × 20,988.06
  4. Step 4: Simplify right side
    34,419.84x = 996,940,825.46
  5. Step 5: Solve for x
    x = 996,940,825.46/34,419.84
  6. Step 6: Final answer
    x = 28,964.13

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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.