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Finding the Fourth Proportional to 68,385.80, 102,569.10 and 21,643.40

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Solution

The fourth proportional to 68,385.80, 102,569.10 and 21,643.40 is: 32,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,385.80 : 102,569.10 = 21,643.40 : x
  2. Step 2: Convert to fraction form
    68,385.80/102,569.10 = 21,643.40/x
  3. Step 3: Cross multiply
    68,385.80x = 102,569.10 × 21,643.40
  4. Step 4: Simplify right side
    68,385.80x = 2,219,944,058.94
  5. Step 5: Solve for x
    x = 2,219,944,058.94/68,385.80
  6. Step 6: Final answer
    x = 32,462.06

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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.