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Finding the Fourth Proportional to 31,671, 47,511.36 and 22,971.60

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Solution

The fourth proportional to 31,671, 47,511.36 and 22,971.60 is: 34,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671 : 47,511.36 = 22,971.60 : x
  2. Step 2: Convert to fraction form
    31,671/47,511.36 = 22,971.60/x
  3. Step 3: Cross multiply
    31,671x = 47,511.36 × 22,971.60
  4. Step 4: Simplify right side
    31,671x = 1,091,411,957.38
  5. Step 5: Solve for x
    x = 1,091,411,957.38/31,671
  6. Step 6: Final answer
    x = 34,460.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.