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Finding the Fourth Proportional to 106,679.18, 160,041.05 and 35,598.98

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Solution

The fourth proportional to 106,679.18, 160,041.05 and 35,598.98 is: 53,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,679.18 : 160,041.05 = 35,598.98 : x
  2. Step 2: Convert to fraction form
    106,679.18/160,041.05 = 35,598.98/x
  3. Step 3: Cross multiply
    106,679.18x = 160,041.05 × 35,598.98
  4. Step 4: Simplify right side
    106,679.18x = 5,697,297,159.93
  5. Step 5: Solve for x
    x = 5,697,297,159.93/106,679.18
  6. Step 6: Final answer
    x = 53,405.90

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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.