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Finding the Fourth Proportional to 47,099.32, 64,952.52 and 30,938.11

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Solution

The fourth proportional to 47,099.32, 64,952.52 and 30,938.11 is: 42,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.32 : 64,952.52 = 30,938.11 : x
  2. Step 2: Convert to fraction form
    47,099.32/64,952.52 = 30,938.11/x
  3. Step 3: Cross multiply
    47,099.32x = 64,952.52 × 30,938.11
  4. Step 4: Simplify right side
    47,099.32x = 2,009,508,208.54
  5. Step 5: Solve for x
    x = 2,009,508,208.54/47,099.32
  6. Step 6: Final answer
    x = 42,665.34

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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.