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Finding the Fourth Proportional to 29,724, 44,575.68 and 8,658.32

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Solution

The fourth proportional to 29,724, 44,575.68 and 8,658.32 is: 12,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 44,575.68 = 8,658.32 : x
  2. Step 2: Convert to fraction form
    29,724/44,575.68 = 8,658.32/x
  3. Step 3: Cross multiply
    29,724x = 44,575.68 × 8,658.32
  4. Step 4: Simplify right side
    29,724x = 385,950,501.66
  5. Step 5: Solve for x
    x = 385,950,501.66/29,724
  6. Step 6: Final answer
    x = 12,984.47

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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.