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Finding the Fourth Proportional to 30,353.92, 45,537.64 and 9,296.92

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Solution

The fourth proportional to 30,353.92, 45,537.64 and 9,296.92 is: 13,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353.92 : 45,537.64 = 9,296.92 : x
  2. Step 2: Convert to fraction form
    30,353.92/45,537.64 = 9,296.92/x
  3. Step 3: Cross multiply
    30,353.92x = 45,537.64 × 9,296.92
  4. Step 4: Simplify right side
    30,353.92x = 423,359,796.07
  5. Step 5: Solve for x
    x = 423,359,796.07/30,353.92
  6. Step 6: Final answer
    x = 13,947.45

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1.5x scale

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.