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Finding the Fourth Proportional to 113,866.83, 170,861.94 and 47,352.87

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Solution

The fourth proportional to 113,866.83, 170,861.94 and 47,352.87 is: 71,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,866.83 : 170,861.94 = 47,352.87 : x
  2. Step 2: Convert to fraction form
    113,866.83/170,861.94 = 47,352.87/x
  3. Step 3: Cross multiply
    113,866.83x = 170,861.94 × 47,352.87
  4. Step 4: Simplify right side
    113,866.83x = 8,090,803,232.77
  5. Step 5: Solve for x
    x = 8,090,803,232.77/113,866.83
  6. Step 6: Final answer
    x = 71,054.96

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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.