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Finding the Fourth Proportional to 73,886.92, 101,954.66 and 42,056.44

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Solution

The fourth proportional to 73,886.92, 101,954.66 and 42,056.44 is: 58,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,886.92 : 101,954.66 = 42,056.44 : x
  2. Step 2: Convert to fraction form
    73,886.92/101,954.66 = 42,056.44/x
  3. Step 3: Cross multiply
    73,886.92x = 101,954.66 × 42,056.44
  4. Step 4: Simplify right side
    73,886.92x = 4,287,850,041.01
  5. Step 5: Solve for x
    x = 4,287,850,041.01/73,886.92
  6. Step 6: Final answer
    x = 58,032.60

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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.