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Finding the Fourth Proportional to 32,513.50, 48,770.27 and 7,889.50

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Solution

The fourth proportional to 32,513.50, 48,770.27 and 7,889.50 is: 11,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.50 : 48,770.27 = 7,889.50 : x
  2. Step 2: Convert to fraction form
    32,513.50/48,770.27 = 7,889.50/x
  3. Step 3: Cross multiply
    32,513.50x = 48,770.27 × 7,889.50
  4. Step 4: Simplify right side
    32,513.50x = 384,773,045.17
  5. Step 5: Solve for x
    x = 384,773,045.17/32,513.50
  6. Step 6: Final answer
    x = 11,834.25

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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.