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Finding the Fourth Proportional to 74,688.60, 112,076.10 and 27,946.20

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Solution

The fourth proportional to 74,688.60, 112,076.10 and 27,946.20 is: 41,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,688.60 : 112,076.10 = 27,946.20 : x
  2. Step 2: Convert to fraction form
    74,688.60/112,076.10 = 27,946.20/x
  3. Step 3: Cross multiply
    74,688.60x = 112,076.10 × 27,946.20
  4. Step 4: Simplify right side
    74,688.60x = 3,132,101,105.82
  5. Step 5: Solve for x
    x = 3,132,101,105.82/74,688.60
  6. Step 6: Final answer
    x = 41,935.46

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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.