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Finding the Fourth Proportional to 35,983.19, 53,978.38 and 11,022.95

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Solution

The fourth proportional to 35,983.19, 53,978.38 and 11,022.95 is: 16,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983.19 : 53,978.38 = 11,022.95 : x
  2. Step 2: Convert to fraction form
    35,983.19/53,978.38 = 11,022.95/x
  3. Step 3: Cross multiply
    35,983.19x = 53,978.38 × 11,022.95
  4. Step 4: Simplify right side
    35,983.19x = 595,000,686.37
  5. Step 5: Solve for x
    x = 595,000,686.37/35,983.19
  6. Step 6: Final answer
    x = 16,535.52

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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.