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Finding the Fourth Proportional to 47,203.47, 70,848.96 and 23,846.31

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Solution

The fourth proportional to 47,203.47, 70,848.96 and 23,846.31 is: 35,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.47 : 70,848.96 = 23,846.31 : x
  2. Step 2: Convert to fraction form
    47,203.47/70,848.96 = 23,846.31/x
  3. Step 3: Cross multiply
    47,203.47x = 70,848.96 × 23,846.31
  4. Step 4: Simplify right side
    47,203.47x = 1,689,486,263.34
  5. Step 5: Solve for x
    x = 1,689,486,263.34/47,203.47
  6. Step 6: Final answer
    x = 35,791.57

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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.