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Finding the Fourth Proportional to 34,534.56, 47,616.48 and 24,464.64

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Solution

The fourth proportional to 34,534.56, 47,616.48 and 24,464.64 is: 33,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.56 : 47,616.48 = 24,464.64 : x
  2. Step 2: Convert to fraction form
    34,534.56/47,616.48 = 24,464.64/x
  3. Step 3: Cross multiply
    34,534.56x = 47,616.48 × 24,464.64
  4. Step 4: Simplify right side
    34,534.56x = 1,164,920,041.27
  5. Step 5: Solve for x
    x = 1,164,920,041.27/34,534.56
  6. Step 6: Final answer
    x = 33,732.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.