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Finding the Fourth Proportional to 65,624.58, 98,393.13 and 31,881.60

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Solution

The fourth proportional to 65,624.58, 98,393.13 and 31,881.60 is: 47,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,624.58 : 98,393.13 = 31,881.60 : x
  2. Step 2: Convert to fraction form
    65,624.58/98,393.13 = 31,881.60/x
  3. Step 3: Cross multiply
    65,624.58x = 98,393.13 × 31,881.60
  4. Step 4: Simplify right side
    65,624.58x = 3,136,930,413.41
  5. Step 5: Solve for x
    x = 3,136,930,413.41/65,624.58
  6. Step 6: Final answer
    x = 47,801.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.