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Finding the Fourth Proportional to 30,838.32, 46,249.08 and 8,650.32

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Solution

The fourth proportional to 30,838.32, 46,249.08 and 8,650.32 is: 12,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.32 : 46,249.08 = 8,650.32 : x
  2. Step 2: Convert to fraction form
    30,838.32/46,249.08 = 8,650.32/x
  3. Step 3: Cross multiply
    30,838.32x = 46,249.08 × 8,650.32
  4. Step 4: Simplify right side
    30,838.32x = 400,069,341.71
  5. Step 5: Solve for x
    x = 400,069,341.71/30,838.32
  6. Step 6: Final answer
    x = 12,973.12

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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.