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Finding the Fourth Proportional to 69,356, 103,983.88 and 41,209.32

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Solution

The fourth proportional to 69,356, 103,983.88 and 41,209.32 is: 61,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,356 : 103,983.88 = 41,209.32 : x
  2. Step 2: Convert to fraction form
    69,356/103,983.88 = 41,209.32/x
  3. Step 3: Cross multiply
    69,356x = 103,983.88 × 41,209.32
  4. Step 4: Simplify right side
    69,356x = 4,285,104,985.76
  5. Step 5: Solve for x
    x = 4,285,104,985.76/69,356
  6. Step 6: Final answer
    x = 61,784.20

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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.