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Finding the Fourth Proportional to 102,524.19, 153,785.34 and 32,403.54

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Solution

The fourth proportional to 102,524.19, 153,785.34 and 32,403.54 is: 48,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524.19 : 153,785.34 = 32,403.54 : x
  2. Step 2: Convert to fraction form
    102,524.19/153,785.34 = 32,403.54/x
  3. Step 3: Cross multiply
    102,524.19x = 153,785.34 × 32,403.54
  4. Step 4: Simplify right side
    102,524.19x = 4,983,189,416.10
  5. Step 5: Solve for x
    x = 4,983,189,416.10/102,524.19
  6. Step 6: Final answer
    x = 48,605.01

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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.