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Finding the Fourth Proportional to 37,875.68, 52,203.12 and 28,427.84

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Solution

The fourth proportional to 37,875.68, 52,203.12 and 28,427.84 is: 39,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,875.68 : 52,203.12 = 28,427.84 : x
  2. Step 2: Convert to fraction form
    37,875.68/52,203.12 = 28,427.84/x
  3. Step 3: Cross multiply
    37,875.68x = 52,203.12 × 28,427.84
  4. Step 4: Simplify right side
    37,875.68x = 1,484,021,942.86
  5. Step 5: Solve for x
    x = 1,484,021,942.86/37,875.68
  6. Step 6: Final answer
    x = 39,181.39

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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.