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Finding the Fourth Proportional to 30,174.94, 41,642.84 and 16,746.31

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Solution

The fourth proportional to 30,174.94, 41,642.84 and 16,746.31 is: 23,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.94 : 41,642.84 = 16,746.31 : x
  2. Step 2: Convert to fraction form
    30,174.94/41,642.84 = 16,746.31/x
  3. Step 3: Cross multiply
    30,174.94x = 41,642.84 × 16,746.31
  4. Step 4: Simplify right side
    30,174.94x = 697,363,907.92
  5. Step 5: Solve for x
    x = 697,363,907.92/30,174.94
  6. Step 6: Final answer
    x = 23,110.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.