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Finding the Fourth Proportional to 47,970.95, 66,199.28 and 27,831.29

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Solution

The fourth proportional to 47,970.95, 66,199.28 and 27,831.29 is: 38,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,970.95 : 66,199.28 = 27,831.29 : x
  2. Step 2: Convert to fraction form
    47,970.95/66,199.28 = 27,831.29/x
  3. Step 3: Cross multiply
    47,970.95x = 66,199.28 × 27,831.29
  4. Step 4: Simplify right side
    47,970.95x = 1,842,410,889.32
  5. Step 5: Solve for x
    x = 1,842,410,889.32/47,970.95
  6. Step 6: Final answer
    x = 38,406.81

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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.