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Finding the Fourth Proportional to 35,807.84, 53,686.20 and 16,821.88

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Solution

The fourth proportional to 35,807.84, 53,686.20 and 16,821.88 is: 25,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.84 : 53,686.20 = 16,821.88 : x
  2. Step 2: Convert to fraction form
    35,807.84/53,686.20 = 16,821.88/x
  3. Step 3: Cross multiply
    35,807.84x = 53,686.20 × 16,821.88
  4. Step 4: Simplify right side
    35,807.84x = 903,102,814.06
  5. Step 5: Solve for x
    x = 903,102,814.06/35,807.84
  6. Step 6: Final answer
    x = 25,220.81

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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.