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Finding the Fourth Proportional to 42,533.56, 63,800.34 and 11,368

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Solution

The fourth proportional to 42,533.56, 63,800.34 and 11,368 is: 17,052

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,533.56 : 63,800.34 = 11,368 : x
  2. Step 2: Convert to fraction form
    42,533.56/63,800.34 = 11,368/x
  3. Step 3: Cross multiply
    42,533.56x = 63,800.34 × 11,368
  4. Step 4: Simplify right side
    42,533.56x = 725,282,265.12
  5. Step 5: Solve for x
    x = 725,282,265.12/42,533.56
  6. Step 6: Final answer
    x = 17,052

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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.