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Finding the Fourth Proportional to 76,953.82, 105,959.38 and 65,597.86

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Solution

The fourth proportional to 76,953.82, 105,959.38 and 65,597.86 is: 90,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953.82 : 105,959.38 = 65,597.86 : x
  2. Step 2: Convert to fraction form
    76,953.82/105,959.38 = 65,597.86/x
  3. Step 3: Cross multiply
    76,953.82x = 105,959.38 × 65,597.86
  4. Step 4: Simplify right side
    76,953.82x = 6,950,708,574.93
  5. Step 5: Solve for x
    x = 6,950,708,574.93/76,953.82
  6. Step 6: Final answer
    x = 90,323.11

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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.