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Finding the Fourth Proportional to 30,296.16, 45,463.80 and 12,766.08

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Solution

The fourth proportional to 30,296.16, 45,463.80 and 12,766.08 is: 19,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.16 : 45,463.80 = 12,766.08 : x
  2. Step 2: Convert to fraction form
    30,296.16/45,463.80 = 12,766.08/x
  3. Step 3: Cross multiply
    30,296.16x = 45,463.80 × 12,766.08
  4. Step 4: Simplify right side
    30,296.16x = 580,394,507.90
  5. Step 5: Solve for x
    x = 580,394,507.90/30,296.16
  6. Step 6: Final answer
    x = 19,157.36

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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.