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Finding the Fourth Proportional to 31,064.10, 46,596.15 and 30,200.10

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Solution

The fourth proportional to 31,064.10, 46,596.15 and 30,200.10 is: 45,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.10 : 46,596.15 = 30,200.10 : x
  2. Step 2: Convert to fraction form
    31,064.10/46,596.15 = 30,200.10/x
  3. Step 3: Cross multiply
    31,064.10x = 46,596.15 × 30,200.10
  4. Step 4: Simplify right side
    31,064.10x = 1,407,208,389.62
  5. Step 5: Solve for x
    x = 1,407,208,389.62/31,064.10
  6. Step 6: Final answer
    x = 45,300.15

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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.