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Finding the Fourth Proportional to 30,783.48, 46,044 and 18,908.07

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Solution

The fourth proportional to 30,783.48, 46,044 and 18,908.07 is: 28,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.48 : 46,044 = 18,908.07 : x
  2. Step 2: Convert to fraction form
    30,783.48/46,044 = 18,908.07/x
  3. Step 3: Cross multiply
    30,783.48x = 46,044 × 18,908.07
  4. Step 4: Simplify right side
    30,783.48x = 870,603,175.08
  5. Step 5: Solve for x
    x = 870,603,175.08/30,783.48
  6. Step 6: Final answer
    x = 28,281.51

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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.