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Finding the Fourth Proportional to 29,848.50, 41,188.23 and 16,420.32

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Solution

The fourth proportional to 29,848.50, 41,188.23 and 16,420.32 is: 22,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.50 : 41,188.23 = 16,420.32 : x
  2. Step 2: Convert to fraction form
    29,848.50/41,188.23 = 16,420.32/x
  3. Step 3: Cross multiply
    29,848.50x = 41,188.23 × 16,420.32
  4. Step 4: Simplify right side
    29,848.50x = 676,323,916.83
  5. Step 5: Solve for x
    x = 676,323,916.83/29,848.50
  6. Step 6: Final answer
    x = 22,658.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.