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Finding the Fourth Proportional to 106,893.81, 160,365.67 and 30,993.93

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Solution

The fourth proportional to 106,893.81, 160,365.67 and 30,993.93 is: 46,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,893.81 : 160,365.67 = 30,993.93 : x
  2. Step 2: Convert to fraction form
    106,893.81/160,365.67 = 30,993.93/x
  3. Step 3: Cross multiply
    106,893.81x = 160,365.67 × 30,993.93
  4. Step 4: Simplify right side
    106,893.81x = 4,970,362,350.38
  5. Step 5: Solve for x
    x = 4,970,362,350.38/106,893.81
  6. Step 6: Final answer
    x = 46,498.13

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1.5x scale

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.