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Finding the Fourth Proportional to 31,957.86, 47,916.03 and 13,232.82

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Solution

The fourth proportional to 31,957.86, 47,916.03 and 13,232.82 is: 19,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.86 : 47,916.03 = 13,232.82 : x
  2. Step 2: Convert to fraction form
    31,957.86/47,916.03 = 13,232.82/x
  3. Step 3: Cross multiply
    31,957.86x = 47,916.03 × 13,232.82
  4. Step 4: Simplify right side
    31,957.86x = 634,064,200.10
  5. Step 5: Solve for x
    x = 634,064,200.10/31,957.86
  6. Step 6: Final answer
    x = 19,840.63

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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.