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Finding the Fourth Proportional to 46,161.54, 69,242.31 and 14,593.77

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Solution

The fourth proportional to 46,161.54, 69,242.31 and 14,593.77 is: 21,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161.54 : 69,242.31 = 14,593.77 : x
  2. Step 2: Convert to fraction form
    46,161.54/69,242.31 = 14,593.77/x
  3. Step 3: Cross multiply
    46,161.54x = 69,242.31 × 14,593.77
  4. Step 4: Simplify right side
    46,161.54x = 1,010,506,346.41
  5. Step 5: Solve for x
    x = 1,010,506,346.41/46,161.54
  6. Step 6: Final answer
    x = 21,890.66

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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.