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Finding the Fourth Proportional to 32,884.51, 49,334.07 and 9,509.17

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Solution

The fourth proportional to 32,884.51, 49,334.07 and 9,509.17 is: 14,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.51 : 49,334.07 = 9,509.17 : x
  2. Step 2: Convert to fraction form
    32,884.51/49,334.07 = 9,509.17/x
  3. Step 3: Cross multiply
    32,884.51x = 49,334.07 × 9,509.17
  4. Step 4: Simplify right side
    32,884.51x = 469,126,058.42
  5. Step 5: Solve for x
    x = 469,126,058.42/32,884.51
  6. Step 6: Final answer
    x = 14,265.87

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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.