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Finding the Fourth Proportional to 47,010.88, 64,868.16 and 28,144

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Solution

The fourth proportional to 47,010.88, 64,868.16 and 28,144 is: 38,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,010.88 : 64,868.16 = 28,144 : x
  2. Step 2: Convert to fraction form
    47,010.88/64,868.16 = 28,144/x
  3. Step 3: Cross multiply
    47,010.88x = 64,868.16 × 28,144
  4. Step 4: Simplify right side
    47,010.88x = 1,825,649,495.04
  5. Step 5: Solve for x
    x = 1,825,649,495.04/47,010.88
  6. Step 6: Final answer
    x = 38,834.62

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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.