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Finding the Fourth Proportional to 55,033.84, 75,948.48 and 31,160

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Solution

The fourth proportional to 55,033.84, 75,948.48 and 31,160 is: 43,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,033.84 : 75,948.48 = 31,160 : x
  2. Step 2: Convert to fraction form
    55,033.84/75,948.48 = 31,160/x
  3. Step 3: Cross multiply
    55,033.84x = 75,948.48 × 31,160
  4. Step 4: Simplify right side
    55,033.84x = 2,366,554,636.80
  5. Step 5: Solve for x
    x = 2,366,554,636.80/55,033.84
  6. Step 6: Final answer
    x = 43,001.81

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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.