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Finding the Fourth Proportional to 32,069.49, 48,108.75 and 9,884.67

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Solution

The fourth proportional to 32,069.49, 48,108.75 and 9,884.67 is: 14,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.49 : 48,108.75 = 9,884.67 : x
  2. Step 2: Convert to fraction form
    32,069.49/48,108.75 = 9,884.67/x
  3. Step 3: Cross multiply
    32,069.49x = 48,108.75 × 9,884.67
  4. Step 4: Simplify right side
    32,069.49x = 475,539,117.86
  5. Step 5: Solve for x
    x = 475,539,117.86/32,069.49
  6. Step 6: Final answer
    x = 14,828.40

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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.