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Finding the Fourth Proportional to 65,823.40, 98,735.10 and 42,203.80

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Solution

The fourth proportional to 65,823.40, 98,735.10 and 42,203.80 is: 63,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823.40 : 98,735.10 = 42,203.80 : x
  2. Step 2: Convert to fraction form
    65,823.40/98,735.10 = 42,203.80/x
  3. Step 3: Cross multiply
    65,823.40x = 98,735.10 × 42,203.80
  4. Step 4: Simplify right side
    65,823.40x = 4,166,996,413.38
  5. Step 5: Solve for x
    x = 4,166,996,413.38/65,823.40
  6. Step 6: Final answer
    x = 63,305.70

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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.