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Finding the Fourth Proportional to 30,870.98, 46,323.63 and 15,076.23

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Solution

The fourth proportional to 30,870.98, 46,323.63 and 15,076.23 is: 22,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.98 : 46,323.63 = 15,076.23 : x
  2. Step 2: Convert to fraction form
    30,870.98/46,323.63 = 15,076.23/x
  3. Step 3: Cross multiply
    30,870.98x = 46,323.63 × 15,076.23
  4. Step 4: Simplify right side
    30,870.98x = 698,385,700.31
  5. Step 5: Solve for x
    x = 698,385,700.31/30,870.98
  6. Step 6: Final answer
    x = 22,622.73

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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.