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Finding the Fourth Proportional to 34,138.71, 47,097.54 and 20,686.64

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Solution

The fourth proportional to 34,138.71, 47,097.54 and 20,686.64 is: 28,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.71 : 47,097.54 = 20,686.64 : x
  2. Step 2: Convert to fraction form
    34,138.71/47,097.54 = 20,686.64/x
  3. Step 3: Cross multiply
    34,138.71x = 47,097.54 × 20,686.64
  4. Step 4: Simplify right side
    34,138.71x = 974,289,619.38
  5. Step 5: Solve for x
    x = 974,289,619.38/34,138.71
  6. Step 6: Final answer
    x = 28,539.15

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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.