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Finding the Fourth Proportional to 35,478.21, 53,216.67 and 9,182.79

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Solution

The fourth proportional to 35,478.21, 53,216.67 and 9,182.79 is: 13,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.21 : 53,216.67 = 9,182.79 : x
  2. Step 2: Convert to fraction form
    35,478.21/53,216.67 = 9,182.79/x
  3. Step 3: Cross multiply
    35,478.21x = 53,216.67 × 9,182.79
  4. Step 4: Simplify right side
    35,478.21x = 488,677,505.11
  5. Step 5: Solve for x
    x = 488,677,505.11/35,478.21
  6. Step 6: Final answer
    x = 13,774.02

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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.