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Finding the Fourth Proportional to 31,005.80, 46,605.90 and 30,422.60

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Solution

The fourth proportional to 31,005.80, 46,605.90 and 30,422.60 is: 45,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.80 : 46,605.90 = 30,422.60 : x
  2. Step 2: Convert to fraction form
    31,005.80/46,605.90 = 30,422.60/x
  3. Step 3: Cross multiply
    31,005.80x = 46,605.90 × 30,422.60
  4. Step 4: Simplify right side
    31,005.80x = 1,417,872,653.34
  5. Step 5: Solve for x
    x = 1,417,872,653.34/31,005.80
  6. Step 6: Final answer
    x = 45,729.27

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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.