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Finding the Fourth Proportional to 35,442.40, 53,163.60 and 30,834.40

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Solution

The fourth proportional to 35,442.40, 53,163.60 and 30,834.40 is: 46,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442.40 : 53,163.60 = 30,834.40 : x
  2. Step 2: Convert to fraction form
    35,442.40/53,163.60 = 30,834.40/x
  3. Step 3: Cross multiply
    35,442.40x = 53,163.60 × 30,834.40
  4. Step 4: Simplify right side
    35,442.40x = 1,639,267,707.84
  5. Step 5: Solve for x
    x = 1,639,267,707.84/35,442.40
  6. Step 6: Final answer
    x = 46,251.60

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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.