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Finding the Fourth Proportional to 106,684.81, 160,028.53 and 31,807.40

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Solution

The fourth proportional to 106,684.81, 160,028.53 and 31,807.40 is: 47,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684.81 : 160,028.53 = 31,807.40 : x
  2. Step 2: Convert to fraction form
    106,684.81/160,028.53 = 31,807.40/x
  3. Step 3: Cross multiply
    106,684.81x = 160,028.53 × 31,807.40
  4. Step 4: Simplify right side
    106,684.81x = 5,090,090,585.46
  5. Step 5: Solve for x
    x = 5,090,090,585.46/106,684.81
  6. Step 6: Final answer
    x = 47,711.48

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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.