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Finding the Fourth Proportional to 37,032, 51,104.16 and 20,265

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Solution

The fourth proportional to 37,032, 51,104.16 and 20,265 is: 27,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032 : 51,104.16 = 20,265 : x
  2. Step 2: Convert to fraction form
    37,032/51,104.16 = 20,265/x
  3. Step 3: Cross multiply
    37,032x = 51,104.16 × 20,265
  4. Step 4: Simplify right side
    37,032x = 1,035,625,802.40
  5. Step 5: Solve for x
    x = 1,035,625,802.40/37,032
  6. Step 6: Final answer
    x = 27,965.70

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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.