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Finding the Fourth Proportional to 35,685.97, 53,535.03 and 12,306.94

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Solution

The fourth proportional to 35,685.97, 53,535.03 and 12,306.94 is: 18,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.97 : 53,535.03 = 12,306.94 : x
  2. Step 2: Convert to fraction form
    35,685.97/53,535.03 = 12,306.94/x
  3. Step 3: Cross multiply
    35,685.97x = 53,535.03 × 12,306.94
  4. Step 4: Simplify right side
    35,685.97x = 658,852,222.12
  5. Step 5: Solve for x
    x = 658,852,222.12/35,685.97
  6. Step 6: Final answer
    x = 18,462.50

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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.