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Finding the Fourth Proportional to 48,093.76, 72,078.18 and 19,597.48

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Solution

The fourth proportional to 48,093.76, 72,078.18 and 19,597.48 is: 29,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,093.76 : 72,078.18 = 19,597.48 : x
  2. Step 2: Convert to fraction form
    48,093.76/72,078.18 = 19,597.48/x
  3. Step 3: Cross multiply
    48,093.76x = 72,078.18 × 19,597.48
  4. Step 4: Simplify right side
    48,093.76x = 1,412,550,690.99
  5. Step 5: Solve for x
    x = 1,412,550,690.99/48,093.76
  6. Step 6: Final answer
    x = 29,370.77

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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.