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Finding the Fourth Proportional to 58,384.25, 87,609.67 and 22,848.44

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Solution

The fourth proportional to 58,384.25, 87,609.67 and 22,848.44 is: 34,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384.25 : 87,609.67 = 22,848.44 : x
  2. Step 2: Convert to fraction form
    58,384.25/87,609.67 = 22,848.44/x
  3. Step 3: Cross multiply
    58,384.25x = 87,609.67 × 22,848.44
  4. Step 4: Simplify right side
    58,384.25x = 2,001,744,288.41
  5. Step 5: Solve for x
    x = 2,001,744,288.41/58,384.25
  6. Step 6: Final answer
    x = 34,285.69

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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.