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Finding the Fourth Proportional to 30,917.12, 46,339.86 and 14,242.16

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Solution

The fourth proportional to 30,917.12, 46,339.86 and 14,242.16 is: 21,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.12 : 46,339.86 = 14,242.16 : x
  2. Step 2: Convert to fraction form
    30,917.12/46,339.86 = 14,242.16/x
  3. Step 3: Cross multiply
    30,917.12x = 46,339.86 × 14,242.16
  4. Step 4: Simplify right side
    30,917.12x = 659,979,700.50
  5. Step 5: Solve for x
    x = 659,979,700.50/30,917.12
  6. Step 6: Final answer
    x = 21,346.74

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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.