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Finding the Fourth Proportional to 48,052.72, 72,069.06 and 12,984.16

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Solution

The fourth proportional to 48,052.72, 72,069.06 and 12,984.16 is: 19,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,052.72 : 72,069.06 = 12,984.16 : x
  2. Step 2: Convert to fraction form
    48,052.72/72,069.06 = 12,984.16/x
  3. Step 3: Cross multiply
    48,052.72x = 72,069.06 × 12,984.16
  4. Step 4: Simplify right side
    48,052.72x = 935,756,206.09
  5. Step 5: Solve for x
    x = 935,756,206.09/48,052.72
  6. Step 6: Final answer
    x = 19,473.53

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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.