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Finding the Fourth Proportional to 55,574.16, 76,696.60 and 31,701.36

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Solution

The fourth proportional to 55,574.16, 76,696.60 and 31,701.36 is: 43,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,574.16 : 76,696.60 = 31,701.36 : x
  2. Step 2: Convert to fraction form
    55,574.16/76,696.60 = 31,701.36/x
  3. Step 3: Cross multiply
    55,574.16x = 76,696.60 × 31,701.36
  4. Step 4: Simplify right side
    55,574.16x = 2,431,386,527.38
  5. Step 5: Solve for x
    x = 2,431,386,527.38/55,574.16
  6. Step 6: Final answer
    x = 43,750.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.