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Finding the Fourth Proportional to 76,345.50, 114,521.49 and 20,941.50

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Solution

The fourth proportional to 76,345.50, 114,521.49 and 20,941.50 is: 31,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.50 : 114,521.49 = 20,941.50 : x
  2. Step 2: Convert to fraction form
    76,345.50/114,521.49 = 20,941.50/x
  3. Step 3: Cross multiply
    76,345.50x = 114,521.49 × 20,941.50
  4. Step 4: Simplify right side
    76,345.50x = 2,398,251,782.84
  5. Step 5: Solve for x
    x = 2,398,251,782.84/76,345.50
  6. Step 6: Final answer
    x = 31,413.14

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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.