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Finding the Fourth Proportional to 32,803.32, 49,207.74 and 10,319.16

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Solution

The fourth proportional to 32,803.32, 49,207.74 and 10,319.16 is: 15,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.32 : 49,207.74 = 10,319.16 : x
  2. Step 2: Convert to fraction form
    32,803.32/49,207.74 = 10,319.16/x
  3. Step 3: Cross multiply
    32,803.32x = 49,207.74 × 10,319.16
  4. Step 4: Simplify right side
    32,803.32x = 507,782,542.30
  5. Step 5: Solve for x
    x = 507,782,542.30/32,803.32
  6. Step 6: Final answer
    x = 15,479.61

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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.