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Finding the Fourth Proportional to 58,586.64, 80,848.92 and 31,728.48

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Solution

The fourth proportional to 58,586.64, 80,848.92 and 31,728.48 is: 43,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,586.64 : 80,848.92 = 31,728.48 : x
  2. Step 2: Convert to fraction form
    58,586.64/80,848.92 = 31,728.48/x
  3. Step 3: Cross multiply
    58,586.64x = 80,848.92 × 31,728.48
  4. Step 4: Simplify right side
    58,586.64x = 2,565,213,341.24
  5. Step 5: Solve for x
    x = 2,565,213,341.24/58,586.64
  6. Step 6: Final answer
    x = 43,784.95

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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.