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Finding the Fourth Proportional to 48,807.40, 73,211.10 and 11,871.40

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Solution

The fourth proportional to 48,807.40, 73,211.10 and 11,871.40 is: 17,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807.40 : 73,211.10 = 11,871.40 : x
  2. Step 2: Convert to fraction form
    48,807.40/73,211.10 = 11,871.40/x
  3. Step 3: Cross multiply
    48,807.40x = 73,211.10 × 11,871.40
  4. Step 4: Simplify right side
    48,807.40x = 869,118,252.54
  5. Step 5: Solve for x
    x = 869,118,252.54/48,807.40
  6. Step 6: Final answer
    x = 17,807.10

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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.