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Finding the Fourth Proportional to 32,636.16, 48,954.72 and 9,262.64

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Solution

The fourth proportional to 32,636.16, 48,954.72 and 9,262.64 is: 13,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,636.16 : 48,954.72 = 9,262.64 : x
  2. Step 2: Convert to fraction form
    32,636.16/48,954.72 = 9,262.64/x
  3. Step 3: Cross multiply
    32,636.16x = 48,954.72 × 9,262.64
  4. Step 4: Simplify right side
    32,636.16x = 453,449,947.66
  5. Step 5: Solve for x
    x = 453,449,947.66/32,636.16
  6. Step 6: Final answer
    x = 13,894.10

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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.