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Finding the Fourth Proportional to 102,141.40, 153,212.14 and 32,026.18

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Solution

The fourth proportional to 102,141.40, 153,212.14 and 32,026.18 is: 48,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,141.40 : 153,212.14 = 32,026.18 : x
  2. Step 2: Convert to fraction form
    102,141.40/153,212.14 = 32,026.18/x
  3. Step 3: Cross multiply
    102,141.40x = 153,212.14 × 32,026.18
  4. Step 4: Simplify right side
    102,141.40x = 4,906,799,573.83
  5. Step 5: Solve for x
    x = 4,906,799,573.83/102,141.40
  6. Step 6: Final answer
    x = 48,039.28

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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.