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Finding the Fourth Proportional to 32,602.33, 48,874.16 and 11,811.25

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Solution

The fourth proportional to 32,602.33, 48,874.16 and 11,811.25 is: 17,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.33 : 48,874.16 = 11,811.25 : x
  2. Step 2: Convert to fraction form
    32,602.33/48,874.16 = 11,811.25/x
  3. Step 3: Cross multiply
    32,602.33x = 48,874.16 × 11,811.25
  4. Step 4: Simplify right side
    32,602.33x = 577,264,863.24
  5. Step 5: Solve for x
    x = 577,264,863.24/32,602.33
  6. Step 6: Final answer
    x = 17,706.25

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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.