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Finding the Fourth Proportional to 37,762.40, 56,643.60 and 20,266.40

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Solution

The fourth proportional to 37,762.40, 56,643.60 and 20,266.40 is: 30,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.40 : 56,643.60 = 20,266.40 : x
  2. Step 2: Convert to fraction form
    37,762.40/56,643.60 = 20,266.40/x
  3. Step 3: Cross multiply
    37,762.40x = 56,643.60 × 20,266.40
  4. Step 4: Simplify right side
    37,762.40x = 1,147,961,855.04
  5. Step 5: Solve for x
    x = 1,147,961,855.04/37,762.40
  6. Step 6: Final answer
    x = 30,399.60

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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.