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Finding the Fourth Proportional to 46,475.38, 69,673.86 and 20,160.34

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Solution

The fourth proportional to 46,475.38, 69,673.86 and 20,160.34 is: 30,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,475.38 : 69,673.86 = 20,160.34 : x
  2. Step 2: Convert to fraction form
    46,475.38/69,673.86 = 20,160.34/x
  3. Step 3: Cross multiply
    46,475.38x = 69,673.86 × 20,160.34
  4. Step 4: Simplify right side
    46,475.38x = 1,404,648,706.71
  5. Step 5: Solve for x
    x = 1,404,648,706.71/46,475.38
  6. Step 6: Final answer
    x = 30,223.50

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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.