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Finding the Fourth Proportional to 47,065.56, 70,608.88 and 15,900

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Solution

The fourth proportional to 47,065.56, 70,608.88 and 15,900 is: 23,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.56 : 70,608.88 = 15,900 : x
  2. Step 2: Convert to fraction form
    47,065.56/70,608.88 = 15,900/x
  3. Step 3: Cross multiply
    47,065.56x = 70,608.88 × 15,900
  4. Step 4: Simplify right side
    47,065.56x = 1,122,681,192
  5. Step 5: Solve for x
    x = 1,122,681,192/47,065.56
  6. Step 6: Final answer
    x = 23,853.56

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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.