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Finding the Fourth Proportional to 34,906.84, 52,326.42 and 13,840

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Solution

The fourth proportional to 34,906.84, 52,326.42 and 13,840 is: 20,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,906.84 : 52,326.42 = 13,840 : x
  2. Step 2: Convert to fraction form
    34,906.84/52,326.42 = 13,840/x
  3. Step 3: Cross multiply
    34,906.84x = 52,326.42 × 13,840
  4. Step 4: Simplify right side
    34,906.84x = 724,197,652.80
  5. Step 5: Solve for x
    x = 724,197,652.80/34,906.84
  6. Step 6: Final answer
    x = 20,746.58

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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.