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Finding the Fourth Proportional to 68,312, 102,412.38 and 45,845.84

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Solution

The fourth proportional to 68,312, 102,412.38 and 45,845.84 is: 68,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,312 : 102,412.38 = 45,845.84 : x
  2. Step 2: Convert to fraction form
    68,312/102,412.38 = 45,845.84/x
  3. Step 3: Cross multiply
    68,312x = 102,412.38 × 45,845.84
  4. Step 4: Simplify right side
    68,312x = 4,695,181,587.50
  5. Step 5: Solve for x
    x = 4,695,181,587.50/68,312
  6. Step 6: Final answer
    x = 68,731.43

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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.