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Finding the Fourth Proportional to 35,973.84, 53,961.12 and 11,013.84

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Solution

The fourth proportional to 35,973.84, 53,961.12 and 11,013.84 is: 16,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973.84 : 53,961.12 = 11,013.84 : x
  2. Step 2: Convert to fraction form
    35,973.84/53,961.12 = 11,013.84/x
  3. Step 3: Cross multiply
    35,973.84x = 53,961.12 × 11,013.84
  4. Step 4: Simplify right side
    35,973.84x = 594,319,141.90
  5. Step 5: Solve for x
    x = 594,319,141.90/35,973.84
  6. Step 6: Final answer
    x = 16,520.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.