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Finding the Fourth Proportional to 65,625, 90,567.36 and 37,339.80

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Solution

The fourth proportional to 65,625, 90,567.36 and 37,339.80 is: 51,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625 : 90,567.36 = 37,339.80 : x
  2. Step 2: Convert to fraction form
    65,625/90,567.36 = 37,339.80/x
  3. Step 3: Cross multiply
    65,625x = 90,567.36 × 37,339.80
  4. Step 4: Simplify right side
    65,625x = 3,381,767,108.93
  5. Step 5: Solve for x
    x = 3,381,767,108.93/65,625
  6. Step 6: Final answer
    x = 51,531.69

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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.