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Finding the Fourth Proportional to 102,144.40, 153,216.58 and 32,029.36

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Solution

The fourth proportional to 102,144.40, 153,216.58 and 32,029.36 is: 48,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.40 : 153,216.58 = 32,029.36 : x
  2. Step 2: Convert to fraction form
    102,144.40/153,216.58 = 32,029.36/x
  3. Step 3: Cross multiply
    102,144.40x = 153,216.58 × 32,029.36
  4. Step 4: Simplify right side
    102,144.40x = 4,907,428,998.79
  5. Step 5: Solve for x
    x = 4,907,428,998.79/102,144.40
  6. Step 6: Final answer
    x = 48,044.03

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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.