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Finding the Fourth Proportional to 76,353.92, 114,569.07 and 34,264.10

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Solution

The fourth proportional to 76,353.92, 114,569.07 and 34,264.10 is: 51,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353.92 : 114,569.07 = 34,264.10 : x
  2. Step 2: Convert to fraction form
    76,353.92/114,569.07 = 34,264.10/x
  3. Step 3: Cross multiply
    76,353.92x = 114,569.07 × 34,264.10
  4. Step 4: Simplify right side
    76,353.92x = 3,925,605,498.54
  5. Step 5: Solve for x
    x = 3,925,605,498.54/76,353.92
  6. Step 6: Final answer
    x = 51,413.28

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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.