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Finding the Fourth Proportional to 101,584.86, 152,286.50 and 48,243.93

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Solution

The fourth proportional to 101,584.86, 152,286.50 and 48,243.93 is: 72,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.86 : 152,286.50 = 48,243.93 : x
  2. Step 2: Convert to fraction form
    101,584.86/152,286.50 = 48,243.93/x
  3. Step 3: Cross multiply
    101,584.86x = 152,286.50 × 48,243.93
  4. Step 4: Simplify right side
    101,584.86x = 7,346,898,243.29
  5. Step 5: Solve for x
    x = 7,346,898,243.29/101,584.86
  6. Step 6: Final answer
    x = 72,322.77

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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.