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Finding the Fourth Proportional to 31,019.48, 46,528.59 and 7,646.12

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Solution

The fourth proportional to 31,019.48, 46,528.59 and 7,646.12 is: 11,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.48 : 46,528.59 = 7,646.12 : x
  2. Step 2: Convert to fraction form
    31,019.48/46,528.59 = 7,646.12/x
  3. Step 3: Cross multiply
    31,019.48x = 46,528.59 × 7,646.12
  4. Step 4: Simplify right side
    31,019.48x = 355,763,182.57
  5. Step 5: Solve for x
    x = 355,763,182.57/31,019.48
  6. Step 6: Final answer
    x = 11,469.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.