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Finding the Fourth Proportional to 32,470.81, 48,708.05 and 9,099.07

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Solution

The fourth proportional to 32,470.81, 48,708.05 and 9,099.07 is: 13,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.81 : 48,708.05 = 9,099.07 : x
  2. Step 2: Convert to fraction form
    32,470.81/48,708.05 = 9,099.07/x
  3. Step 3: Cross multiply
    32,470.81x = 48,708.05 × 9,099.07
  4. Step 4: Simplify right side
    32,470.81x = 443,197,956.51
  5. Step 5: Solve for x
    x = 443,197,956.51/32,470.81
  6. Step 6: Final answer
    x = 13,649.12

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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.