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Finding the Fourth Proportional to 70,901.86, 106,352.78 and 48,647.76

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Solution

The fourth proportional to 70,901.86, 106,352.78 and 48,647.76 is: 72,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901.86 : 106,352.78 = 48,647.76 : x
  2. Step 2: Convert to fraction form
    70,901.86/106,352.78 = 48,647.76/x
  3. Step 3: Cross multiply
    70,901.86x = 106,352.78 × 48,647.76
  4. Step 4: Simplify right side
    70,901.86x = 5,173,825,250.94
  5. Step 5: Solve for x
    x = 5,173,825,250.94/70,901.86
  6. Step 6: Final answer
    x = 72,971.65

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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.