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Finding the Fourth Proportional to 57,762.30, 86,578.65 and 32,814.30

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Solution

The fourth proportional to 57,762.30, 86,578.65 and 32,814.30 is: 49,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.30 : 86,578.65 = 32,814.30 : x
  2. Step 2: Convert to fraction form
    57,762.30/86,578.65 = 32,814.30/x
  3. Step 3: Cross multiply
    57,762.30x = 86,578.65 × 32,814.30
  4. Step 4: Simplify right side
    57,762.30x = 2,841,017,794.70
  5. Step 5: Solve for x
    x = 2,841,017,794.70/57,762.30
  6. Step 6: Final answer
    x = 49,184.64

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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.