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Finding the Fourth Proportional to 46,290.54, 69,435.81 and 13,013.97

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Solution

The fourth proportional to 46,290.54, 69,435.81 and 13,013.97 is: 19,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,290.54 : 69,435.81 = 13,013.97 : x
  2. Step 2: Convert to fraction form
    46,290.54/69,435.81 = 13,013.97/x
  3. Step 3: Cross multiply
    46,290.54x = 69,435.81 × 13,013.97
  4. Step 4: Simplify right side
    46,290.54x = 903,635,548.27
  5. Step 5: Solve for x
    x = 903,635,548.27/46,290.54
  6. Step 6: Final answer
    x = 19,520.96

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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.