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Finding the Fourth Proportional to 102,238.96, 153,373.92 and 32,111.68

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Solution

The fourth proportional to 102,238.96, 153,373.92 and 32,111.68 is: 48,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.96 : 153,373.92 = 32,111.68 : x
  2. Step 2: Convert to fraction form
    102,238.96/153,373.92 = 32,111.68/x
  3. Step 3: Cross multiply
    102,238.96x = 153,373.92 × 32,111.68
  4. Step 4: Simplify right side
    102,238.96x = 4,925,094,239.39
  5. Step 5: Solve for x
    x = 4,925,094,239.39/102,238.96
  6. Step 6: Final answer
    x = 48,172.38

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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.