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Finding the Fourth Proportional to 32,762.94, 49,149.87 and 10,275.09

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Solution

The fourth proportional to 32,762.94, 49,149.87 and 10,275.09 is: 15,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.94 : 49,149.87 = 10,275.09 : x
  2. Step 2: Convert to fraction form
    32,762.94/49,149.87 = 10,275.09/x
  3. Step 3: Cross multiply
    32,762.94x = 49,149.87 × 10,275.09
  4. Step 4: Simplify right side
    32,762.94x = 505,019,337.74
  5. Step 5: Solve for x
    x = 505,019,337.74/32,762.94
  6. Step 6: Final answer
    x = 15,414.35

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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.