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Finding the Fourth Proportional to 101,856.25, 152,788.47 and 48,520.81

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Solution

The fourth proportional to 101,856.25, 152,788.47 and 48,520.81 is: 72,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.25 : 152,788.47 = 48,520.81 : x
  2. Step 2: Convert to fraction form
    101,856.25/152,788.47 = 48,520.81/x
  3. Step 3: Cross multiply
    101,856.25x = 152,788.47 × 48,520.81
  4. Step 4: Simplify right side
    101,856.25x = 7,413,420,323.06
  5. Step 5: Solve for x
    x = 7,413,420,323.06/101,856.25
  6. Step 6: Final answer
    x = 72,783.17

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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.