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Finding the Fourth Proportional to 32,636.40, 48,956.48 and 9,261

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Solution

The fourth proportional to 32,636.40, 48,956.48 and 9,261 is: 13,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,636.40 : 48,956.48 = 9,261 : x
  2. Step 2: Convert to fraction form
    32,636.40/48,956.48 = 9,261/x
  3. Step 3: Cross multiply
    32,636.40x = 48,956.48 × 9,261
  4. Step 4: Simplify right side
    32,636.40x = 453,385,961.28
  5. Step 5: Solve for x
    x = 453,385,961.28/32,636.40
  6. Step 6: Final answer
    x = 13,892.03

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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.