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Finding the Fourth Proportional to 32,975.70, 49,462.98 and 10,486.28

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Solution

The fourth proportional to 32,975.70, 49,462.98 and 10,486.28 is: 15,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.70 : 49,462.98 = 10,486.28 : x
  2. Step 2: Convert to fraction form
    32,975.70/49,462.98 = 10,486.28/x
  3. Step 3: Cross multiply
    32,975.70x = 49,462.98 × 10,486.28
  4. Step 4: Simplify right side
    32,975.70x = 518,682,657.91
  5. Step 5: Solve for x
    x = 518,682,657.91/32,975.70
  6. Step 6: Final answer
    x = 15,729.24

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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.