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Finding the Fourth Proportional to 75,624.50, 113,506.91 and 38,210.86

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Solution

The fourth proportional to 75,624.50, 113,506.91 and 38,210.86 is: 57,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624.50 : 113,506.91 = 38,210.86 : x
  2. Step 2: Convert to fraction form
    75,624.50/113,506.91 = 38,210.86/x
  3. Step 3: Cross multiply
    75,624.50x = 113,506.91 × 38,210.86
  4. Step 4: Simplify right side
    75,624.50x = 4,337,196,647.04
  5. Step 5: Solve for x
    x = 4,337,196,647.04/75,624.50
  6. Step 6: Final answer
    x = 57,351.74

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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.