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Finding the Fourth Proportional to 30,811.32, 46,223.94 and 9,752.64

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Solution

The fourth proportional to 30,811.32, 46,223.94 and 9,752.64 is: 14,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.32 : 46,223.94 = 9,752.64 : x
  2. Step 2: Convert to fraction form
    30,811.32/46,223.94 = 9,752.64/x
  3. Step 3: Cross multiply
    30,811.32x = 46,223.94 × 9,752.64
  4. Step 4: Simplify right side
    30,811.32x = 450,805,446.20
  5. Step 5: Solve for x
    x = 450,805,446.20/30,811.32
  6. Step 6: Final answer
    x = 14,631.16

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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.