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Finding the Fourth Proportional to 32,011.71, 48,022.74 and 12,022.75

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Solution

The fourth proportional to 32,011.71, 48,022.74 and 12,022.75 is: 18,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.71 : 48,022.74 = 12,022.75 : x
  2. Step 2: Convert to fraction form
    32,011.71/48,022.74 = 12,022.75/x
  3. Step 3: Cross multiply
    32,011.71x = 48,022.74 × 12,022.75
  4. Step 4: Simplify right side
    32,011.71x = 577,365,397.34
  5. Step 5: Solve for x
    x = 577,365,397.34/32,011.71
  6. Step 6: Final answer
    x = 18,036.07

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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.