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Finding the Fourth Proportional to 65,413.75, 98,123.01 and 23,296.93

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Solution

The fourth proportional to 65,413.75, 98,123.01 and 23,296.93 is: 34,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.75 : 98,123.01 = 23,296.93 : x
  2. Step 2: Convert to fraction form
    65,413.75/98,123.01 = 23,296.93/x
  3. Step 3: Cross multiply
    65,413.75x = 98,123.01 × 23,296.93
  4. Step 4: Simplify right side
    65,413.75x = 2,285,964,895.36
  5. Step 5: Solve for x
    x = 2,285,964,895.36/65,413.75
  6. Step 6: Final answer
    x = 34,946.24

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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.