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Finding the Fourth Proportional to 37,913.50, 52,320.63 and 21,146.50

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Solution

The fourth proportional to 37,913.50, 52,320.63 and 21,146.50 is: 29,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,913.50 : 52,320.63 = 21,146.50 : x
  2. Step 2: Convert to fraction form
    37,913.50/52,320.63 = 21,146.50/x
  3. Step 3: Cross multiply
    37,913.50x = 52,320.63 × 21,146.50
  4. Step 4: Simplify right side
    37,913.50x = 1,106,398,202.30
  5. Step 5: Solve for x
    x = 1,106,398,202.30/37,913.50
  6. Step 6: Final answer
    x = 29,182.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.