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Finding the Fourth Proportional to 68,509.16, 102,693.67 and 34,712.57

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Solution

The fourth proportional to 68,509.16, 102,693.67 and 34,712.57 is: 52,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.16 : 102,693.67 = 34,712.57 : x
  2. Step 2: Convert to fraction form
    68,509.16/102,693.67 = 34,712.57/x
  3. Step 3: Cross multiply
    68,509.16x = 102,693.67 × 34,712.57
  4. Step 4: Simplify right side
    68,509.16x = 3,564,761,208.43
  5. Step 5: Solve for x
    x = 3,564,761,208.43/68,509.16
  6. Step 6: Final answer
    x = 52,033.35

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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.