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Finding the Fourth Proportional to 31,203.80, 46,805.70 and 31,009.40

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Solution

The fourth proportional to 31,203.80, 46,805.70 and 31,009.40 is: 46,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.80 : 46,805.70 = 31,009.40 : x
  2. Step 2: Convert to fraction form
    31,203.80/46,805.70 = 31,009.40/x
  3. Step 3: Cross multiply
    31,203.80x = 46,805.70 × 31,009.40
  4. Step 4: Simplify right side
    31,203.80x = 1,451,416,673.58
  5. Step 5: Solve for x
    x = 1,451,416,673.58/31,203.80
  6. Step 6: Final answer
    x = 46,514.10

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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.