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Finding the Fourth Proportional to 30,917.19, 46,360.43 and 9,854.49

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Solution

The fourth proportional to 30,917.19, 46,360.43 and 9,854.49 is: 14,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.19 : 46,360.43 = 9,854.49 : x
  2. Step 2: Convert to fraction form
    30,917.19/46,360.43 = 9,854.49/x
  3. Step 3: Cross multiply
    30,917.19x = 46,360.43 × 9,854.49
  4. Step 4: Simplify right side
    30,917.19x = 456,858,592.32
  5. Step 5: Solve for x
    x = 456,858,592.32/30,917.19
  6. Step 6: Final answer
    x = 14,776.85

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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.