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Finding the Fourth Proportional to 30,950.76, 46,384.10 and 14,274.12

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Solution

The fourth proportional to 30,950.76, 46,384.10 and 14,274.12 is: 21,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.76 : 46,384.10 = 14,274.12 : x
  2. Step 2: Convert to fraction form
    30,950.76/46,384.10 = 14,274.12/x
  3. Step 3: Cross multiply
    30,950.76x = 46,384.10 × 14,274.12
  4. Step 4: Simplify right side
    30,950.76x = 662,092,209.49
  5. Step 5: Solve for x
    x = 662,092,209.49/30,950.76
  6. Step 6: Final answer
    x = 21,391.79

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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.