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Finding the Fourth Proportional to 51,413.67, 70,992.86 and 38,000.07

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Solution

The fourth proportional to 51,413.67, 70,992.86 and 38,000.07 is: 52,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413.67 : 70,992.86 = 38,000.07 : x
  2. Step 2: Convert to fraction form
    51,413.67/70,992.86 = 38,000.07/x
  3. Step 3: Cross multiply
    51,413.67x = 70,992.86 × 38,000.07
  4. Step 4: Simplify right side
    51,413.67x = 2,697,733,459.50
  5. Step 5: Solve for x
    x = 2,697,733,459.50/51,413.67
  6. Step 6: Final answer
    x = 52,471.13

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