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Finding the Fourth Proportional to 32,464.76, 48,693.36 and 9,093.08

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Solution

The fourth proportional to 32,464.76, 48,693.36 and 9,093.08 is: 13,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.76 : 48,693.36 = 9,093.08 : x
  2. Step 2: Convert to fraction form
    32,464.76/48,693.36 = 9,093.08/x
  3. Step 3: Cross multiply
    32,464.76x = 48,693.36 × 9,093.08
  4. Step 4: Simplify right side
    32,464.76x = 442,772,617.95
  5. Step 5: Solve for x
    x = 442,772,617.95/32,464.76
  6. Step 6: Final answer
    x = 13,638.56

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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.