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Finding the Fourth Proportional to 35,746.94, 49,331.58 and 19,831.16

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Solution

The fourth proportional to 35,746.94, 49,331.58 and 19,831.16 is: 27,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746.94 : 49,331.58 = 19,831.16 : x
  2. Step 2: Convert to fraction form
    35,746.94/49,331.58 = 19,831.16/x
  3. Step 3: Cross multiply
    35,746.94x = 49,331.58 × 19,831.16
  4. Step 4: Simplify right side
    35,746.94x = 978,302,456.03
  5. Step 5: Solve for x
    x = 978,302,456.03/35,746.94
  6. Step 6: Final answer
    x = 27,367.45

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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.