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Finding the Fourth Proportional to 74,093.76, 102,200.16 and 52,884.96

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Solution

The fourth proportional to 74,093.76, 102,200.16 and 52,884.96 is: 72,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,093.76 : 102,200.16 = 52,884.96 : x
  2. Step 2: Convert to fraction form
    74,093.76/102,200.16 = 52,884.96/x
  3. Step 3: Cross multiply
    74,093.76x = 102,200.16 × 52,884.96
  4. Step 4: Simplify right side
    74,093.76x = 5,404,851,373.59
  5. Step 5: Solve for x
    x = 5,404,851,373.59/74,093.76
  6. Step 6: Final answer
    x = 72,946.11

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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.