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Finding the Fourth Proportional to 77,413.42, 116,120.32 and 21,254.30

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Solution

The fourth proportional to 77,413.42, 116,120.32 and 21,254.30 is: 31,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413.42 : 116,120.32 = 21,254.30 : x
  2. Step 2: Convert to fraction form
    77,413.42/116,120.32 = 21,254.30/x
  3. Step 3: Cross multiply
    77,413.42x = 116,120.32 × 21,254.30
  4. Step 4: Simplify right side
    77,413.42x = 2,468,056,011.10
  5. Step 5: Solve for x
    x = 2,468,056,011.10/77,413.42
  6. Step 6: Final answer
    x = 31,881.50

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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.