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Finding the Fourth Proportional to 109,325.40, 164,064.90 and 47,040.60

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Solution

The fourth proportional to 109,325.40, 164,064.90 and 47,040.60 is: 70,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,325.40 : 164,064.90 = 47,040.60 : x
  2. Step 2: Convert to fraction form
    109,325.40/164,064.90 = 47,040.60/x
  3. Step 3: Cross multiply
    109,325.40x = 164,064.90 × 47,040.60
  4. Step 4: Simplify right side
    109,325.40x = 7,717,711,334.94
  5. Step 5: Solve for x
    x = 7,717,711,334.94/109,325.40
  6. Step 6: Final answer
    x = 70,593.95

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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.