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Finding the Fourth Proportional to 65,671.61, 90,626.74 and 38,823.80

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Solution

The fourth proportional to 65,671.61, 90,626.74 and 38,823.80 is: 53,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,671.61 : 90,626.74 = 38,823.80 : x
  2. Step 2: Convert to fraction form
    65,671.61/90,626.74 = 38,823.80/x
  3. Step 3: Cross multiply
    65,671.61x = 90,626.74 × 38,823.80
  4. Step 4: Simplify right side
    65,671.61x = 3,518,473,878.22
  5. Step 5: Solve for x
    x = 3,518,473,878.22/65,671.61
  6. Step 6: Final answer
    x = 53,576.79

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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.