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Finding the Fourth Proportional to 77,310.60, 116,009.10 and 32,929.80

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Solution

The fourth proportional to 77,310.60, 116,009.10 and 32,929.80 is: 49,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310.60 : 116,009.10 = 32,929.80 : x
  2. Step 2: Convert to fraction form
    77,310.60/116,009.10 = 32,929.80/x
  3. Step 3: Cross multiply
    77,310.60x = 116,009.10 × 32,929.80
  4. Step 4: Simplify right side
    77,310.60x = 3,820,156,461.18
  5. Step 5: Solve for x
    x = 3,820,156,461.18/77,310.60
  6. Step 6: Final answer
    x = 49,413.10

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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.