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Finding the Fourth Proportional to 32,770.36, 49,155.95 and 9,397

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Solution

The fourth proportional to 32,770.36, 49,155.95 and 9,397 is: 14,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.36 : 49,155.95 = 9,397 : x
  2. Step 2: Convert to fraction form
    32,770.36/49,155.95 = 9,397/x
  3. Step 3: Cross multiply
    32,770.36x = 49,155.95 × 9,397
  4. Step 4: Simplify right side
    32,770.36x = 461,918,462.15
  5. Step 5: Solve for x
    x = 461,918,462.15/32,770.36
  6. Step 6: Final answer
    x = 14,095.62

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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.