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Finding the Fourth Proportional to 70,413.76, 97,170.54 and 38,148.98

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Solution

The fourth proportional to 70,413.76, 97,170.54 and 38,148.98 is: 52,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413.76 : 97,170.54 = 38,148.98 : x
  2. Step 2: Convert to fraction form
    70,413.76/97,170.54 = 38,148.98/x
  3. Step 3: Cross multiply
    70,413.76x = 97,170.54 × 38,148.98
  4. Step 4: Simplify right side
    70,413.76x = 3,706,956,987.05
  5. Step 5: Solve for x
    x = 3,706,956,987.05/70,413.76
  6. Step 6: Final answer
    x = 52,645.35

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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.