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Finding the Fourth Proportional to 32,319, 44,600.76 and 21,141

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Solution

The fourth proportional to 32,319, 44,600.76 and 21,141 is: 29,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 44,600.76 = 21,141 : x
  2. Step 2: Convert to fraction form
    32,319/44,600.76 = 21,141/x
  3. Step 3: Cross multiply
    32,319x = 44,600.76 × 21,141
  4. Step 4: Simplify right side
    32,319x = 942,904,667.16
  5. Step 5: Solve for x
    x = 942,904,667.16/32,319
  6. Step 6: Final answer
    x = 29,174.93

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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.