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Finding the Fourth Proportional to 47,708.68, 71,552.08 and 21,420.94

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Solution

The fourth proportional to 47,708.68, 71,552.08 and 21,420.94 is: 32,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708.68 : 71,552.08 = 21,420.94 : x
  2. Step 2: Convert to fraction form
    47,708.68/71,552.08 = 21,420.94/x
  3. Step 3: Cross multiply
    47,708.68x = 71,552.08 × 21,420.94
  4. Step 4: Simplify right side
    47,708.68x = 1,532,712,812.56
  5. Step 5: Solve for x
    x = 1,532,712,812.56/47,708.68
  6. Step 6: Final answer
    x = 32,126.50

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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.