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Finding the Fourth Proportional to 30,601.40, 45,902.60 and 9,542.00

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Solution

The fourth proportional to 30,601.40, 45,902.60 and 9,542.00 is: 14,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.40 : 45,902.60 = 9,542.00 : x
  2. Step 2: Convert to fraction form
    30,601.40/45,902.60 = 9,542.00/x
  3. Step 3: Cross multiply
    30,601.40x = 45,902.60 × 9,542.00
  4. Step 4: Simplify right side
    30,601.40x = 438,002,712.03
  5. Step 5: Solve for x
    x = 438,002,712.03/30,601.40
  6. Step 6: Final answer
    x = 14,313.16

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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.