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Finding the Fourth Proportional to 77,275.66, 106,634.55 and 47,057.64

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Solution

The fourth proportional to 77,275.66, 106,634.55 and 47,057.64 is: 64,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.66 : 106,634.55 = 47,057.64 : x
  2. Step 2: Convert to fraction form
    77,275.66/106,634.55 = 47,057.64/x
  3. Step 3: Cross multiply
    77,275.66x = 106,634.55 × 47,057.64
  4. Step 4: Simplify right side
    77,275.66x = 5,017,970,265.46
  5. Step 5: Solve for x
    x = 5,017,970,265.46/77,275.66
  6. Step 6: Final answer
    x = 64,935.97

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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.