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Finding the Fourth Proportional to 30,897.40, 46,346.10 and 29,687.80

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Solution

The fourth proportional to 30,897.40, 46,346.10 and 29,687.80 is: 44,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.40 : 46,346.10 = 29,687.80 : x
  2. Step 2: Convert to fraction form
    30,897.40/46,346.10 = 29,687.80/x
  3. Step 3: Cross multiply
    30,897.40x = 46,346.10 × 29,687.80
  4. Step 4: Simplify right side
    30,897.40x = 1,375,913,747.58
  5. Step 5: Solve for x
    x = 1,375,913,747.58/30,897.40
  6. Step 6: Final answer
    x = 44,531.70

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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.