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Finding the Fourth Proportional to 97,291.50, 134,262.27 and 52,579.50

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Solution

The fourth proportional to 97,291.50, 134,262.27 and 52,579.50 is: 72,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,291.50 : 134,262.27 = 52,579.50 : x
  2. Step 2: Convert to fraction form
    97,291.50/134,262.27 = 52,579.50/x
  3. Step 3: Cross multiply
    97,291.50x = 134,262.27 × 52,579.50
  4. Step 4: Simplify right side
    97,291.50x = 7,059,443,025.47
  5. Step 5: Solve for x
    x = 7,059,443,025.47/97,291.50
  6. Step 6: Final answer
    x = 72,559.71

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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.