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Finding the Fourth Proportional to 30,783.78, 46,156.50 and 20,117.70

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Solution

The fourth proportional to 30,783.78, 46,156.50 and 20,117.70 is: 30,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.78 : 46,156.50 = 20,117.70 : x
  2. Step 2: Convert to fraction form
    30,783.78/46,156.50 = 20,117.70/x
  3. Step 3: Cross multiply
    30,783.78x = 46,156.50 × 20,117.70
  4. Step 4: Simplify right side
    30,783.78x = 928,562,620.05
  5. Step 5: Solve for x
    x = 928,562,620.05/30,783.78
  6. Step 6: Final answer
    x = 30,164.02

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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.