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Finding the Fourth Proportional to 64,892.14, 97,341.40 and 31,640.63

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Solution

The fourth proportional to 64,892.14, 97,341.40 and 31,640.63 is: 47,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,892.14 : 97,341.40 = 31,640.63 : x
  2. Step 2: Convert to fraction form
    64,892.14/97,341.40 = 31,640.63/x
  3. Step 3: Cross multiply
    64,892.14x = 97,341.40 × 31,640.63
  4. Step 4: Simplify right side
    64,892.14x = 3,079,942,977.73
  5. Step 5: Solve for x
    x = 3,079,942,977.73/64,892.14
  6. Step 6: Final answer
    x = 47,462.50

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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.