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Finding the Fourth Proportional to 30,835.30, 46,215.71 and 15,016.63

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Solution

The fourth proportional to 30,835.30, 46,215.71 and 15,016.63 is: 22,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.30 : 46,215.71 = 15,016.63 : x
  2. Step 2: Convert to fraction form
    30,835.30/46,215.71 = 15,016.63/x
  3. Step 3: Cross multiply
    30,835.30x = 46,215.71 × 15,016.63
  4. Step 4: Simplify right side
    30,835.30x = 694,004,264.04
  5. Step 5: Solve for x
    x = 694,004,264.04/30,835.30
  6. Step 6: Final answer
    x = 22,506.81

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1.5x scale

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.