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Finding the Fourth Proportional to 48,458, 72,687 and 12,919.44

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Solution

The fourth proportional to 48,458, 72,687 and 12,919.44 is: 19,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,458 : 72,687 = 12,919.44 : x
  2. Step 2: Convert to fraction form
    48,458/72,687 = 12,919.44/x
  3. Step 3: Cross multiply
    48,458x = 72,687 × 12,919.44
  4. Step 4: Simplify right side
    48,458x = 939,075,335.28
  5. Step 5: Solve for x
    x = 939,075,335.28/48,458
  6. Step 6: Final answer
    x = 19,379.16

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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.