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Finding the Fourth Proportional to 35,831.84, 49,447.72 and 19,916.19

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Solution

The fourth proportional to 35,831.84, 49,447.72 and 19,916.19 is: 27,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831.84 : 49,447.72 = 19,916.19 : x
  2. Step 2: Convert to fraction form
    35,831.84/49,447.72 = 19,916.19/x
  3. Step 3: Cross multiply
    35,831.84x = 49,447.72 × 19,916.19
  4. Step 4: Simplify right side
    35,831.84x = 984,810,186.59
  5. Step 5: Solve for x
    x = 984,810,186.59/35,831.84
  6. Step 6: Final answer
    x = 27,484.22

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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.