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Finding the Fourth Proportional to 70,413.28, 97,133.98 and 47,744.60

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Solution

The fourth proportional to 70,413.28, 97,133.98 and 47,744.60 is: 65,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413.28 : 97,133.98 = 47,744.60 : x
  2. Step 2: Convert to fraction form
    70,413.28/97,133.98 = 47,744.60/x
  3. Step 3: Cross multiply
    70,413.28x = 97,133.98 × 47,744.60
  4. Step 4: Simplify right side
    70,413.28x = 4,637,623,021.51
  5. Step 5: Solve for x
    x = 4,637,623,021.51/70,413.28
  6. Step 6: Final answer
    x = 65,862.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.