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Finding the Fourth Proportional to 31,210.62, 46,808.96 and 9,019.05

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Solution

The fourth proportional to 31,210.62, 46,808.96 and 9,019.05 is: 13,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.62 : 46,808.96 = 9,019.05 : x
  2. Step 2: Convert to fraction form
    31,210.62/46,808.96 = 9,019.05/x
  3. Step 3: Cross multiply
    31,210.62x = 46,808.96 × 9,019.05
  4. Step 4: Simplify right side
    31,210.62x = 422,172,305.59
  5. Step 5: Solve for x
    x = 422,172,305.59/31,210.62
  6. Step 6: Final answer
    x = 13,526.56

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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.