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Finding the Fourth Proportional to 47,052.78, 70,581.92 and 13,315.98

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Solution

The fourth proportional to 47,052.78, 70,581.92 and 13,315.98 is: 19,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,052.78 : 70,581.92 = 13,315.98 : x
  2. Step 2: Convert to fraction form
    47,052.78/70,581.92 = 13,315.98/x
  3. Step 3: Cross multiply
    47,052.78x = 70,581.92 × 13,315.98
  4. Step 4: Simplify right side
    47,052.78x = 939,867,368.50
  5. Step 5: Solve for x
    x = 939,867,368.50/47,052.78
  6. Step 6: Final answer
    x = 19,974.75

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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.