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Finding the Fourth Proportional to 77,464.15, 106,876.15 and 43,467.64

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Solution

The fourth proportional to 77,464.15, 106,876.15 and 43,467.64 is: 59,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,464.15 : 106,876.15 = 43,467.64 : x
  2. Step 2: Convert to fraction form
    77,464.15/106,876.15 = 43,467.64/x
  3. Step 3: Cross multiply
    77,464.15x = 106,876.15 × 43,467.64
  4. Step 4: Simplify right side
    77,464.15x = 4,645,654,012.79
  5. Step 5: Solve for x
    x = 4,645,654,012.79/77,464.15
  6. Step 6: Final answer
    x = 59,971.66

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1.5x scale

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.