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Finding the Fourth Proportional to 92,340.48, 138,461.49 and 47,922.51

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Solution

The fourth proportional to 92,340.48, 138,461.49 and 47,922.51 is: 71,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,340.48 : 138,461.49 = 47,922.51 : x
  2. Step 2: Convert to fraction form
    92,340.48/138,461.49 = 47,922.51/x
  3. Step 3: Cross multiply
    92,340.48x = 138,461.49 × 47,922.51
  4. Step 4: Simplify right side
    92,340.48x = 6,635,422,139.14
  5. Step 5: Solve for x
    x = 6,635,422,139.14/92,340.48
  6. Step 6: Final answer
    x = 71,858.22

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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.