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Finding the Fourth Proportional to 58,585.92, 80,848.14 and 31,727.80

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Solution

The fourth proportional to 58,585.92, 80,848.14 and 31,727.80 is: 43,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,585.92 : 80,848.14 = 31,727.80 : x
  2. Step 2: Convert to fraction form
    58,585.92/80,848.14 = 31,727.80/x
  3. Step 3: Cross multiply
    58,585.92x = 80,848.14 × 31,727.80
  4. Step 4: Simplify right side
    58,585.92x = 2,565,133,776.84
  5. Step 5: Solve for x
    x = 2,565,133,776.84/58,585.92
  6. Step 6: Final answer
    x = 43,784.14

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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.