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Finding the Fourth Proportional to 32,497.69, 48,749.29 and 9,124.12

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Solution

The fourth proportional to 32,497.69, 48,749.29 and 9,124.12 is: 13,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.69 : 48,749.29 = 9,124.12 : x
  2. Step 2: Convert to fraction form
    32,497.69/48,749.29 = 9,124.12/x
  3. Step 3: Cross multiply
    32,497.69x = 48,749.29 × 9,124.12
  4. Step 4: Simplify right side
    32,497.69x = 444,794,371.87
  5. Step 5: Solve for x
    x = 444,794,371.87/32,497.69
  6. Step 6: Final answer
    x = 13,686.96

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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.