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Finding the Fourth Proportional to 30,918.87, 46,391.49 and 9,860.58

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Solution

The fourth proportional to 30,918.87, 46,391.49 and 9,860.58 is: 14,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918.87 : 46,391.49 = 9,860.58 : x
  2. Step 2: Convert to fraction form
    30,918.87/46,391.49 = 9,860.58/x
  3. Step 3: Cross multiply
    30,918.87x = 46,391.49 × 9,860.58
  4. Step 4: Simplify right side
    30,918.87x = 457,446,998.46
  5. Step 5: Solve for x
    x = 457,446,998.46/30,918.87
  6. Step 6: Final answer
    x = 14,795.07

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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.