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Finding the Fourth Proportional to 32,583.25, 48,875.36 and 7,959.25

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Solution

The fourth proportional to 32,583.25, 48,875.36 and 7,959.25 is: 11,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.25 : 48,875.36 = 7,959.25 : x
  2. Step 2: Convert to fraction form
    32,583.25/48,875.36 = 7,959.25/x
  3. Step 3: Cross multiply
    32,583.25x = 48,875.36 × 7,959.25
  4. Step 4: Simplify right side
    32,583.25x = 389,011,169.28
  5. Step 5: Solve for x
    x = 389,011,169.28/32,583.25
  6. Step 6: Final answer
    x = 11,938.99

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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.