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Finding the Fourth Proportional to 102,416.49, 153,624.74 and 32,301.27

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Solution

The fourth proportional to 102,416.49, 153,624.74 and 32,301.27 is: 48,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,416.49 : 153,624.74 = 32,301.27 : x
  2. Step 2: Convert to fraction form
    102,416.49/153,624.74 = 32,301.27/x
  3. Step 3: Cross multiply
    102,416.49x = 153,624.74 × 32,301.27
  4. Step 4: Simplify right side
    102,416.49x = 4,962,274,043.91
  5. Step 5: Solve for x
    x = 4,962,274,043.91/102,416.49
  6. Step 6: Final answer
    x = 48,451.91

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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.