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Finding the Fourth Proportional to 30,649.19, 45,973.49 and 9,589.40

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Solution

The fourth proportional to 30,649.19, 45,973.49 and 9,589.40 is: 14,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.19 : 45,973.49 = 9,589.40 : x
  2. Step 2: Convert to fraction form
    30,649.19/45,973.49 = 9,589.40/x
  3. Step 3: Cross multiply
    30,649.19x = 45,973.49 × 9,589.40
  4. Step 4: Simplify right side
    30,649.19x = 440,858,185.01
  5. Step 5: Solve for x
    x = 440,858,185.01/30,649.19
  6. Step 6: Final answer
    x = 14,384.01

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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.