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Finding the Fourth Proportional to 47,182.40, 70,773.60 and 19,102.40

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Solution

The fourth proportional to 47,182.40, 70,773.60 and 19,102.40 is: 28,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182.40 : 70,773.60 = 19,102.40 : x
  2. Step 2: Convert to fraction form
    47,182.40/70,773.60 = 19,102.40/x
  3. Step 3: Cross multiply
    47,182.40x = 70,773.60 × 19,102.40
  4. Step 4: Simplify right side
    47,182.40x = 1,351,945,616.64
  5. Step 5: Solve for x
    x = 1,351,945,616.64/47,182.40
  6. Step 6: Final answer
    x = 28,653.60

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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.