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Finding the Fourth Proportional to 32,457.06, 48,685.60 and 7,833.06

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Solution

The fourth proportional to 32,457.06, 48,685.60 and 7,833.06 is: 11,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.06 : 48,685.60 = 7,833.06 : x
  2. Step 2: Convert to fraction form
    32,457.06/48,685.60 = 7,833.06/x
  3. Step 3: Cross multiply
    32,457.06x = 48,685.60 × 7,833.06
  4. Step 4: Simplify right side
    32,457.06x = 381,357,308.48
  5. Step 5: Solve for x
    x = 381,357,308.48/32,457.06
  6. Step 6: Final answer
    x = 11,749.59

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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.