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Finding the Fourth Proportional to 31,300.04, 46,976.40 and 29,329.64

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Solution

The fourth proportional to 31,300.04, 46,976.40 and 29,329.64 is: 44,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.04 : 46,976.40 = 29,329.64 : x
  2. Step 2: Convert to fraction form
    31,300.04/46,976.40 = 29,329.64/x
  3. Step 3: Cross multiply
    31,300.04x = 46,976.40 × 29,329.64
  4. Step 4: Simplify right side
    31,300.04x = 1,377,800,900.50
  5. Step 5: Solve for x
    x = 1,377,800,900.50/31,300.04
  6. Step 6: Final answer
    x = 44,019.14

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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.