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Finding the Fourth Proportional to 30,935.96, 46,403.88 and 11,214.48

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Solution

The fourth proportional to 30,935.96, 46,403.88 and 11,214.48 is: 16,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.96 : 46,403.88 = 11,214.48 : x
  2. Step 2: Convert to fraction form
    30,935.96/46,403.88 = 11,214.48/x
  3. Step 3: Cross multiply
    30,935.96x = 46,403.88 × 11,214.48
  4. Step 4: Simplify right side
    30,935.96x = 520,395,384.18
  5. Step 5: Solve for x
    x = 520,395,384.18/30,935.96
  6. Step 6: Final answer
    x = 16,821.70

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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.