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Finding the Fourth Proportional to 47,230, 65,156.76 and 29,064.52

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Solution

The fourth proportional to 47,230, 65,156.76 and 29,064.52 is: 40,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,230 : 65,156.76 = 29,064.52 : x
  2. Step 2: Convert to fraction form
    47,230/65,156.76 = 29,064.52/x
  3. Step 3: Cross multiply
    47,230x = 65,156.76 × 29,064.52
  4. Step 4: Simplify right side
    47,230x = 1,893,749,954.16
  5. Step 5: Solve for x
    x = 1,893,749,954.16/47,230
  6. Step 6: Final answer
    x = 40,096.34

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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.