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Finding the Fourth Proportional to 60,897.02, 83,983.41 and 38,238.12

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Solution

The fourth proportional to 60,897.02, 83,983.41 and 38,238.12 is: 52,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,897.02 : 83,983.41 = 38,238.12 : x
  2. Step 2: Convert to fraction form
    60,897.02/83,983.41 = 38,238.12/x
  3. Step 3: Cross multiply
    60,897.02x = 83,983.41 × 38,238.12
  4. Step 4: Simplify right side
    60,897.02x = 3,211,367,709.59
  5. Step 5: Solve for x
    x = 3,211,367,709.59/60,897.02
  6. Step 6: Final answer
    x = 52,734.40

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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.