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Finding the Fourth Proportional to 68,029.42, 93,875.20 and 37,812.38

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Solution

The fourth proportional to 68,029.42, 93,875.20 and 37,812.38 is: 52,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,029.42 : 93,875.20 = 37,812.38 : x
  2. Step 2: Convert to fraction form
    68,029.42/93,875.20 = 37,812.38/x
  3. Step 3: Cross multiply
    68,029.42x = 93,875.20 × 37,812.38
  4. Step 4: Simplify right side
    68,029.42x = 3,549,644,734.98
  5. Step 5: Solve for x
    x = 3,549,644,734.98/68,029.42
  6. Step 6: Final answer
    x = 52,178.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.