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Finding the Fourth Proportional to 34,207, 47,207.28 and 19,100.14

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Solution

The fourth proportional to 34,207, 47,207.28 and 19,100.14 is: 26,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207 : 47,207.28 = 19,100.14 : x
  2. Step 2: Convert to fraction form
    34,207/47,207.28 = 19,100.14/x
  3. Step 3: Cross multiply
    34,207x = 47,207.28 × 19,100.14
  4. Step 4: Simplify right side
    34,207x = 901,665,657.02
  5. Step 5: Solve for x
    x = 901,665,657.02/34,207
  6. Step 6: Final answer
    x = 26,359.10

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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.