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Finding the Fourth Proportional to 92,583.78, 138,875.86 and 33,461.20

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Solution

The fourth proportional to 92,583.78, 138,875.86 and 33,461.20 is: 50,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,583.78 : 138,875.86 = 33,461.20 : x
  2. Step 2: Convert to fraction form
    92,583.78/138,875.86 = 33,461.20/x
  3. Step 3: Cross multiply
    92,583.78x = 138,875.86 × 33,461.20
  4. Step 4: Simplify right side
    92,583.78x = 4,646,952,926.63
  5. Step 5: Solve for x
    x = 4,646,952,926.63/92,583.78
  6. Step 6: Final answer
    x = 50,191.87

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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.