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Finding the Fourth Proportional to 55,015.15, 75,918.72 and 31,146.78

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Solution

The fourth proportional to 55,015.15, 75,918.72 and 31,146.78 is: 42,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,015.15 : 75,918.72 = 31,146.78 : x
  2. Step 2: Convert to fraction form
    55,015.15/75,918.72 = 31,146.78/x
  3. Step 3: Cross multiply
    55,015.15x = 75,918.72 × 31,146.78
  4. Step 4: Simplify right side
    55,015.15x = 2,364,623,669.72
  5. Step 5: Solve for x
    x = 2,364,623,669.72/55,015.15
  6. Step 6: Final answer
    x = 42,981.32

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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.