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Finding the Fourth Proportional to 30,728.57, 46,070.98 and 18,218.93

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Solution

The fourth proportional to 30,728.57, 46,070.98 and 18,218.93 is: 27,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.57 : 46,070.98 = 18,218.93 : x
  2. Step 2: Convert to fraction form
    30,728.57/46,070.98 = 18,218.93/x
  3. Step 3: Cross multiply
    30,728.57x = 46,070.98 × 18,218.93
  4. Step 4: Simplify right side
    30,728.57x = 839,363,683.75
  5. Step 5: Solve for x
    x = 839,363,683.75/30,728.57
  6. Step 6: Final answer
    x = 27,315.42

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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.