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Finding the Fourth Proportional to 68,809.46, 103,068.38 and 51,984.14

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Solution

The fourth proportional to 68,809.46, 103,068.38 and 51,984.14 is: 77,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,809.46 : 103,068.38 = 51,984.14 : x
  2. Step 2: Convert to fraction form
    68,809.46/103,068.38 = 51,984.14/x
  3. Step 3: Cross multiply
    68,809.46x = 103,068.38 × 51,984.14
  4. Step 4: Simplify right side
    68,809.46x = 5,357,920,710.11
  5. Step 5: Solve for x
    x = 5,357,920,710.11/68,809.46
  6. Step 6: Final answer
    x = 77,866.05

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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.