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Finding the Fourth Proportional to 68,460.77, 102,647.21 and 28,507.45

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Solution

The fourth proportional to 68,460.77, 102,647.21 and 28,507.45 is: 42,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460.77 : 102,647.21 = 28,507.45 : x
  2. Step 2: Convert to fraction form
    68,460.77/102,647.21 = 28,507.45/x
  3. Step 3: Cross multiply
    68,460.77x = 102,647.21 × 28,507.45
  4. Step 4: Simplify right side
    68,460.77x = 2,926,210,206.71
  5. Step 5: Solve for x
    x = 2,926,210,206.71/68,460.77
  6. Step 6: Final answer
    x = 42,742.88

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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.