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Finding the Fourth Proportional to 30,566.19, 45,840.15 and 9,218.01

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Solution

The fourth proportional to 30,566.19, 45,840.15 and 9,218.01 is: 13,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.19 : 45,840.15 = 9,218.01 : x
  2. Step 2: Convert to fraction form
    30,566.19/45,840.15 = 9,218.01/x
  3. Step 3: Cross multiply
    30,566.19x = 45,840.15 × 9,218.01
  4. Step 4: Simplify right side
    30,566.19x = 422,554,961.10
  5. Step 5: Solve for x
    x = 422,554,961.10/30,566.19
  6. Step 6: Final answer
    x = 13,824.26

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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.