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Finding the Fourth Proportional to 48,066.58, 72,125.74 and 20,006

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Solution

The fourth proportional to 48,066.58, 72,125.74 and 20,006 is: 30,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,066.58 : 72,125.74 = 20,006 : x
  2. Step 2: Convert to fraction form
    48,066.58/72,125.74 = 20,006/x
  3. Step 3: Cross multiply
    48,066.58x = 72,125.74 × 20,006
  4. Step 4: Simplify right side
    48,066.58x = 1,442,947,554.44
  5. Step 5: Solve for x
    x = 1,442,947,554.44/48,066.58
  6. Step 6: Final answer
    x = 30,019.77

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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.