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Finding the Fourth Proportional to 76,955.86, 115,406.11 and 32,585.82

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Solution

The fourth proportional to 76,955.86, 115,406.11 and 32,585.82 is: 48,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,955.86 : 115,406.11 = 32,585.82 : x
  2. Step 2: Convert to fraction form
    76,955.86/115,406.11 = 32,585.82/x
  3. Step 3: Cross multiply
    76,955.86x = 115,406.11 × 32,585.82
  4. Step 4: Simplify right side
    76,955.86x = 3,760,602,727.36
  5. Step 5: Solve for x
    x = 3,760,602,727.36/76,955.86
  6. Step 6: Final answer
    x = 48,867.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.