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Finding the Fourth Proportional to 30,092.98, 45,139.44 and 9,033.01

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Solution

The fourth proportional to 30,092.98, 45,139.44 and 9,033.01 is: 13,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,092.98 : 45,139.44 = 9,033.01 : x
  2. Step 2: Convert to fraction form
    30,092.98/45,139.44 = 9,033.01/x
  3. Step 3: Cross multiply
    30,092.98x = 45,139.44 × 9,033.01
  4. Step 4: Simplify right side
    30,092.98x = 407,745,012.91
  5. Step 5: Solve for x
    x = 407,745,012.91/30,092.98
  6. Step 6: Final answer
    x = 13,549.51

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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.