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Finding the Fourth Proportional to 32,077.47, 48,117.39 and 11,032.02

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Solution

The fourth proportional to 32,077.47, 48,117.39 and 11,032.02 is: 16,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.47 : 48,117.39 = 11,032.02 : x
  2. Step 2: Convert to fraction form
    32,077.47/48,117.39 = 11,032.02/x
  3. Step 3: Cross multiply
    32,077.47x = 48,117.39 × 11,032.02
  4. Step 4: Simplify right side
    32,077.47x = 530,832,008.83
  5. Step 5: Solve for x
    x = 530,832,008.83/32,077.47
  6. Step 6: Final answer
    x = 16,548.44

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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.