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Finding the Fourth Proportional to 97,358.86, 134,355.21 and 52,646.86

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Solution

The fourth proportional to 97,358.86, 134,355.21 and 52,646.86 is: 72,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,358.86 : 134,355.21 = 52,646.86 : x
  2. Step 2: Convert to fraction form
    97,358.86/134,355.21 = 52,646.86/x
  3. Step 3: Cross multiply
    97,358.86x = 134,355.21 × 52,646.86
  4. Step 4: Simplify right side
    97,358.86x = 7,073,379,259.36
  5. Step 5: Solve for x
    x = 7,073,379,259.36/97,358.86
  6. Step 6: Final answer
    x = 72,652.65

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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.