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Finding the Fourth Proportional to 32,584, 48,876 and 11,807.50

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Solution

The fourth proportional to 32,584, 48,876 and 11,807.50 is: 17,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584 : 48,876 = 11,807.50 : x
  2. Step 2: Convert to fraction form
    32,584/48,876 = 11,807.50/x
  3. Step 3: Cross multiply
    32,584x = 48,876 × 11,807.50
  4. Step 4: Simplify right side
    32,584x = 577,103,370
  5. Step 5: Solve for x
    x = 577,103,370/32,584
  6. Step 6: Final answer
    x = 17,711.25

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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.