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Finding the Fourth Proportional to 32,460.15, 48,693.06 and 9,086.66

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Solution

The fourth proportional to 32,460.15, 48,693.06 and 9,086.66 is: 13,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.15 : 48,693.06 = 9,086.66 : x
  2. Step 2: Convert to fraction form
    32,460.15/48,693.06 = 9,086.66/x
  3. Step 3: Cross multiply
    32,460.15x = 48,693.06 × 9,086.66
  4. Step 4: Simplify right side
    32,460.15x = 442,457,037.11
  5. Step 5: Solve for x
    x = 442,457,037.11/32,460.15
  6. Step 6: Final answer
    x = 13,630.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.