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Finding the Fourth Proportional to 55,534.80, 76,637.40 and 30,384

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Solution

The fourth proportional to 55,534.80, 76,637.40 and 30,384 is: 41,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534.80 : 76,637.40 = 30,384 : x
  2. Step 2: Convert to fraction form
    55,534.80/76,637.40 = 30,384/x
  3. Step 3: Cross multiply
    55,534.80x = 76,637.40 × 30,384
  4. Step 4: Simplify right side
    55,534.80x = 2,328,550,761.60
  5. Step 5: Solve for x
    x = 2,328,550,761.60/55,534.80
  6. Step 6: Final answer
    x = 41,929.58

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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.