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Finding the Fourth Proportional to 34,132, 47,102.16 and 19,228

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Solution

The fourth proportional to 34,132, 47,102.16 and 19,228 is: 26,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132 : 47,102.16 = 19,228 : x
  2. Step 2: Convert to fraction form
    34,132/47,102.16 = 19,228/x
  3. Step 3: Cross multiply
    34,132x = 47,102.16 × 19,228
  4. Step 4: Simplify right side
    34,132x = 905,680,332.48
  5. Step 5: Solve for x
    x = 905,680,332.48/34,132
  6. Step 6: Final answer
    x = 26,534.64

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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.