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Finding the Fourth Proportional to 32,762.46, 49,143.69 and 8,138.46

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Solution

The fourth proportional to 32,762.46, 49,143.69 and 8,138.46 is: 12,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.46 : 49,143.69 = 8,138.46 : x
  2. Step 2: Convert to fraction form
    32,762.46/49,143.69 = 8,138.46/x
  3. Step 3: Cross multiply
    32,762.46x = 49,143.69 × 8,138.46
  4. Step 4: Simplify right side
    32,762.46x = 399,953,955.32
  5. Step 5: Solve for x
    x = 399,953,955.32/32,762.46
  6. Step 6: Final answer
    x = 12,207.69

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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.