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Finding the Fourth Proportional to 32,274, 48,412.83 and 11,497.50

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Solution

The fourth proportional to 32,274, 48,412.83 and 11,497.50 is: 17,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274 : 48,412.83 = 11,497.50 : x
  2. Step 2: Convert to fraction form
    32,274/48,412.83 = 11,497.50/x
  3. Step 3: Cross multiply
    32,274x = 48,412.83 × 11,497.50
  4. Step 4: Simplify right side
    32,274x = 556,626,512.93
  5. Step 5: Solve for x
    x = 556,626,512.93/32,274
  6. Step 6: Final answer
    x = 17,246.90

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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.