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Finding the Fourth Proportional to 97,678.50, 134,796.39 and 52,966.50

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Solution

The fourth proportional to 97,678.50, 134,796.39 and 52,966.50 is: 73,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,678.50 : 134,796.39 = 52,966.50 : x
  2. Step 2: Convert to fraction form
    97,678.50/134,796.39 = 52,966.50/x
  3. Step 3: Cross multiply
    97,678.50x = 134,796.39 × 52,966.50
  4. Step 4: Simplify right side
    97,678.50x = 7,139,692,990.94
  5. Step 5: Solve for x
    x = 7,139,692,990.94/97,678.50
  6. Step 6: Final answer
    x = 73,093.80

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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.