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Finding the Fourth Proportional to 29,364, 44,046 and 8,587.50

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Solution

The fourth proportional to 29,364, 44,046 and 8,587.50 is: 12,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364 : 44,046 = 8,587.50 : x
  2. Step 2: Convert to fraction form
    29,364/44,046 = 8,587.50/x
  3. Step 3: Cross multiply
    29,364x = 44,046 × 8,587.50
  4. Step 4: Simplify right side
    29,364x = 378,245,025
  5. Step 5: Solve for x
    x = 378,245,025/29,364
  6. Step 6: Final answer
    x = 12,881.25

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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.