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Finding the Fourth Proportional to 31,751.32, 47,633.64 and 9,566.32

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Solution

The fourth proportional to 31,751.32, 47,633.64 and 9,566.32 is: 14,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.32 : 47,633.64 = 9,566.32 : x
  2. Step 2: Convert to fraction form
    31,751.32/47,633.64 = 9,566.32/x
  3. Step 3: Cross multiply
    31,751.32x = 47,633.64 × 9,566.32
  4. Step 4: Simplify right side
    31,751.32x = 455,678,643.00
  5. Step 5: Solve for x
    x = 455,678,643.00/31,751.32
  6. Step 6: Final answer
    x = 14,351.49

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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.