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Finding the Fourth Proportional to 39,394, 59,101.26 and 11,692

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Solution

The fourth proportional to 39,394, 59,101.26 and 11,692 is: 17,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394 : 59,101.26 = 11,692 : x
  2. Step 2: Convert to fraction form
    39,394/59,101.26 = 11,692/x
  3. Step 3: Cross multiply
    39,394x = 59,101.26 × 11,692
  4. Step 4: Simplify right side
    39,394x = 691,011,931.92
  5. Step 5: Solve for x
    x = 691,011,931.92/39,394
  6. Step 6: Final answer
    x = 17,541.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.