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Finding the Fourth Proportional to 37,568.40, 51,822.63 and 22,259.40

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Solution

The fourth proportional to 37,568.40, 51,822.63 and 22,259.40 is: 30,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,568.40 : 51,822.63 = 22,259.40 : x
  2. Step 2: Convert to fraction form
    37,568.40/51,822.63 = 22,259.40/x
  3. Step 3: Cross multiply
    37,568.40x = 51,822.63 × 22,259.40
  4. Step 4: Simplify right side
    37,568.40x = 1,153,540,650.22
  5. Step 5: Solve for x
    x = 1,153,540,650.22/37,568.40
  6. Step 6: Final answer
    x = 30,705.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.