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Finding the Fourth Proportional to 71,157, 106,702.68 and 41,583.90

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Solution

The fourth proportional to 71,157, 106,702.68 and 41,583.90 is: 62,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157 : 106,702.68 = 41,583.90 : x
  2. Step 2: Convert to fraction form
    71,157/106,702.68 = 41,583.90/x
  3. Step 3: Cross multiply
    71,157x = 106,702.68 × 41,583.90
  4. Step 4: Simplify right side
    71,157x = 4,437,113,574.85
  5. Step 5: Solve for x
    x = 4,437,113,574.85/71,157
  6. Step 6: Final answer
    x = 62,356.67

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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.