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Finding the Fourth Proportional to 58,228.60, 87,407.70 and 31,984.60

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Solution

The fourth proportional to 58,228.60, 87,407.70 and 31,984.60 is: 48,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,228.60 : 87,407.70 = 31,984.60 : x
  2. Step 2: Convert to fraction form
    58,228.60/87,407.70 = 31,984.60/x
  3. Step 3: Cross multiply
    58,228.60x = 87,407.70 × 31,984.60
  4. Step 4: Simplify right side
    58,228.60x = 2,795,700,321.42
  5. Step 5: Solve for x
    x = 2,795,700,321.42/58,228.60
  6. Step 6: Final answer
    x = 48,012.49

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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.