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Finding the Fourth Proportional to 31,207.40, 46,811.10 and 15,619.40

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Solution

The fourth proportional to 31,207.40, 46,811.10 and 15,619.40 is: 23,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.40 : 46,811.10 = 15,619.40 : x
  2. Step 2: Convert to fraction form
    31,207.40/46,811.10 = 15,619.40/x
  3. Step 3: Cross multiply
    31,207.40x = 46,811.10 × 15,619.40
  4. Step 4: Simplify right side
    31,207.40x = 731,161,295.34
  5. Step 5: Solve for x
    x = 731,161,295.34/31,207.40
  6. Step 6: Final answer
    x = 23,429.10

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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.