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Finding the Fourth Proportional to 43,458.49, 65,216.95 and 15,378.43

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Solution

The fourth proportional to 43,458.49, 65,216.95 and 15,378.43 is: 23,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,458.49 : 65,216.95 = 15,378.43 : x
  2. Step 2: Convert to fraction form
    43,458.49/65,216.95 = 15,378.43/x
  3. Step 3: Cross multiply
    43,458.49x = 65,216.95 × 15,378.43
  4. Step 4: Simplify right side
    43,458.49x = 1,002,934,223.50
  5. Step 5: Solve for x
    x = 1,002,934,223.50/43,458.49
  6. Step 6: Final answer
    x = 23,077.98

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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.