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Finding the Fourth Proportional to 30,846.40, 46,195.04 and 17,658.80

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Solution

The fourth proportional to 30,846.40, 46,195.04 and 17,658.80 is: 26,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.40 : 46,195.04 = 17,658.80 : x
  2. Step 2: Convert to fraction form
    30,846.40/46,195.04 = 17,658.80/x
  3. Step 3: Cross multiply
    30,846.40x = 46,195.04 × 17,658.80
  4. Step 4: Simplify right side
    30,846.40x = 815,748,972.35
  5. Step 5: Solve for x
    x = 815,748,972.35/30,846.40
  6. Step 6: Final answer
    x = 26,445.52

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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.