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Finding the Fourth Proportional to 34,708.07, 52,061.64 and 8,413.04

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Solution

The fourth proportional to 34,708.07, 52,061.64 and 8,413.04 is: 12,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.07 : 52,061.64 = 8,413.04 : x
  2. Step 2: Convert to fraction form
    34,708.07/52,061.64 = 8,413.04/x
  3. Step 3: Cross multiply
    34,708.07x = 52,061.64 × 8,413.04
  4. Step 4: Simplify right side
    34,708.07x = 437,996,659.79
  5. Step 5: Solve for x
    x = 437,996,659.79/34,708.07
  6. Step 6: Final answer
    x = 12,619.45

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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.