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Finding the Fourth Proportional to 35,984.27, 53,978.02 and 11,022.50

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Solution

The fourth proportional to 35,984.27, 53,978.02 and 11,022.50 is: 16,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.27 : 53,978.02 = 11,022.50 : x
  2. Step 2: Convert to fraction form
    35,984.27/53,978.02 = 11,022.50/x
  3. Step 3: Cross multiply
    35,984.27x = 53,978.02 × 11,022.50
  4. Step 4: Simplify right side
    35,984.27x = 594,972,428.00
  5. Step 5: Solve for x
    x = 594,972,428.00/35,984.27
  6. Step 6: Final answer
    x = 16,534.24

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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.