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Finding the Fourth Proportional to 31,205.40, 46,808.10 and 15,617.40

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Solution

The fourth proportional to 31,205.40, 46,808.10 and 15,617.40 is: 23,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.40 : 46,808.10 = 15,617.40 : x
  2. Step 2: Convert to fraction form
    31,205.40/46,808.10 = 15,617.40/x
  3. Step 3: Cross multiply
    31,205.40x = 46,808.10 × 15,617.40
  4. Step 4: Simplify right side
    31,205.40x = 731,020,820.94
  5. Step 5: Solve for x
    x = 731,020,820.94/31,205.40
  6. Step 6: Final answer
    x = 23,426.10

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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.