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Finding the Fourth Proportional to 73,508.16, 101,346 and 47,620.64

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Solution

The fourth proportional to 73,508.16, 101,346 and 47,620.64 is: 65,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,508.16 : 101,346 = 47,620.64 : x
  2. Step 2: Convert to fraction form
    73,508.16/101,346 = 47,620.64/x
  3. Step 3: Cross multiply
    73,508.16x = 101,346 × 47,620.64
  4. Step 4: Simplify right side
    73,508.16x = 4,826,161,381.44
  5. Step 5: Solve for x
    x = 4,826,161,381.44/73,508.16
  6. Step 6: Final answer
    x = 65,654.77

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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.