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Finding the Fourth Proportional to 47,216.40, 70,829.72 and 17,648.40

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Solution

The fourth proportional to 47,216.40, 70,829.72 and 17,648.40 is: 26,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,216.40 : 70,829.72 = 17,648.40 : x
  2. Step 2: Convert to fraction form
    47,216.40/70,829.72 = 17,648.40/x
  3. Step 3: Cross multiply
    47,216.40x = 70,829.72 × 17,648.40
  4. Step 4: Simplify right side
    47,216.40x = 1,250,031,230.45
  5. Step 5: Solve for x
    x = 1,250,031,230.45/47,216.40
  6. Step 6: Final answer
    x = 26,474.51

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