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Finding the Fourth Proportional to 51,671.16, 77,413.14 and 43,404.30

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Solution

The fourth proportional to 51,671.16, 77,413.14 and 43,404.30 is: 65,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671.16 : 77,413.14 = 43,404.30 : x
  2. Step 2: Convert to fraction form
    51,671.16/77,413.14 = 43,404.30/x
  3. Step 3: Cross multiply
    51,671.16x = 77,413.14 × 43,404.30
  4. Step 4: Simplify right side
    51,671.16x = 3,360,063,152.50
  5. Step 5: Solve for x
    x = 3,360,063,152.50/51,671.16
  6. Step 6: Final answer
    x = 65,027.83

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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.