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Finding the Fourth Proportional to 34,689.54, 52,022 and 12,496.96

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Solution

The fourth proportional to 34,689.54, 52,022 and 12,496.96 is: 18,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.54 : 52,022 = 12,496.96 : x
  2. Step 2: Convert to fraction form
    34,689.54/52,022 = 12,496.96/x
  3. Step 3: Cross multiply
    34,689.54x = 52,022 × 12,496.96
  4. Step 4: Simplify right side
    34,689.54x = 650,116,853.12
  5. Step 5: Solve for x
    x = 650,116,853.12/34,689.54
  6. Step 6: Final answer
    x = 18,741.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.