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Finding the Fourth Proportional to 32,457.90, 48,688.65 and 9,086.16

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Solution

The fourth proportional to 32,457.90, 48,688.65 and 9,086.16 is: 13,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.90 : 48,688.65 = 9,086.16 : x
  2. Step 2: Convert to fraction form
    32,457.90/48,688.65 = 9,086.16/x
  3. Step 3: Cross multiply
    32,457.90x = 48,688.65 × 9,086.16
  4. Step 4: Simplify right side
    32,457.90x = 442,392,864.08
  5. Step 5: Solve for x
    x = 442,392,864.08/32,457.90
  6. Step 6: Final answer
    x = 13,629.74

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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.