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Finding the Fourth Proportional to 46,658.34, 69,973.15 and 13,369.48

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Solution

The fourth proportional to 46,658.34, 69,973.15 and 13,369.48 is: 20,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658.34 : 69,973.15 = 13,369.48 : x
  2. Step 2: Convert to fraction form
    46,658.34/69,973.15 = 13,369.48/x
  3. Step 3: Cross multiply
    46,658.34x = 69,973.15 × 13,369.48
  4. Step 4: Simplify right side
    46,658.34x = 935,504,629.46
  5. Step 5: Solve for x
    x = 935,504,629.46/46,658.34
  6. Step 6: Final answer
    x = 20,050.11

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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.