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Finding the Fourth Proportional to 47,092.76, 70,638.96 and 12,032.36

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Solution

The fourth proportional to 47,092.76, 70,638.96 and 12,032.36 is: 18,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,092.76 : 70,638.96 = 12,032.36 : x
  2. Step 2: Convert to fraction form
    47,092.76/70,638.96 = 12,032.36/x
  3. Step 3: Cross multiply
    47,092.76x = 70,638.96 × 12,032.36
  4. Step 4: Simplify right side
    47,092.76x = 849,953,396.75
  5. Step 5: Solve for x
    x = 849,953,396.75/47,092.76
  6. Step 6: Final answer
    x = 18,048.49

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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.