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Finding the Fourth Proportional to 77,857.19, 116,793.98 and 35,730.10

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Solution

The fourth proportional to 77,857.19, 116,793.98 and 35,730.10 is: 53,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.19 : 116,793.98 = 35,730.10 : x
  2. Step 2: Convert to fraction form
    77,857.19/116,793.98 = 35,730.10/x
  3. Step 3: Cross multiply
    77,857.19x = 116,793.98 × 35,730.10
  4. Step 4: Simplify right side
    77,857.19x = 4,173,060,584.80
  5. Step 5: Solve for x
    x = 4,173,060,584.80/77,857.19
  6. Step 6: Final answer
    x = 53,598.91

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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.