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Finding the Fourth Proportional to 65,669.68, 90,625.26 and 37,378

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Solution

The fourth proportional to 65,669.68, 90,625.26 and 37,378 is: 51,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,669.68 : 90,625.26 = 37,378 : x
  2. Step 2: Convert to fraction form
    65,669.68/90,625.26 = 37,378/x
  3. Step 3: Cross multiply
    65,669.68x = 90,625.26 × 37,378
  4. Step 4: Simplify right side
    65,669.68x = 3,387,390,968.28
  5. Step 5: Solve for x
    x = 3,387,390,968.28/65,669.68
  6. Step 6: Final answer
    x = 51,582.27

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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.