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Finding the Fourth Proportional to 34,106.42, 47,069.02 and 19,203.38

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Solution

The fourth proportional to 34,106.42, 47,069.02 and 19,203.38 is: 26,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.42 : 47,069.02 = 19,203.38 : x
  2. Step 2: Convert to fraction form
    34,106.42/47,069.02 = 19,203.38/x
  3. Step 3: Cross multiply
    34,106.42x = 47,069.02 × 19,203.38
  4. Step 4: Simplify right side
    34,106.42x = 903,884,277.29
  5. Step 5: Solve for x
    x = 903,884,277.29/34,106.42
  6. Step 6: Final answer
    x = 26,501.88

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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.