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Finding the Fourth Proportional to 48,804.12, 73,211.16 and 13,266

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Solution

The fourth proportional to 48,804.12, 73,211.16 and 13,266 is: 19,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,804.12 : 73,211.16 = 13,266 : x
  2. Step 2: Convert to fraction form
    48,804.12/73,211.16 = 13,266/x
  3. Step 3: Cross multiply
    48,804.12x = 73,211.16 × 13,266
  4. Step 4: Simplify right side
    48,804.12x = 971,219,248.56
  5. Step 5: Solve for x
    x = 971,219,248.56/48,804.12
  6. Step 6: Final answer
    x = 19,900.35

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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.