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Finding the Fourth Proportional to 35,834.57, 53,751.85 and 12,461

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Solution

The fourth proportional to 35,834.57, 53,751.85 and 12,461 is: 18,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.57 : 53,751.85 = 12,461 : x
  2. Step 2: Convert to fraction form
    35,834.57/53,751.85 = 12,461/x
  3. Step 3: Cross multiply
    35,834.57x = 53,751.85 × 12,461
  4. Step 4: Simplify right side
    35,834.57x = 669,801,740.55
  5. Step 5: Solve for x
    x = 669,801,740.55/35,834.57
  6. Step 6: Final answer
    x = 18,691.50

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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.