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Finding the Fourth Proportional to 49,389.80, 74,019.90 and 19,783.40

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Solution

The fourth proportional to 49,389.80, 74,019.90 and 19,783.40 is: 29,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,389.80 : 74,019.90 = 19,783.40 : x
  2. Step 2: Convert to fraction form
    49,389.80/74,019.90 = 19,783.40/x
  3. Step 3: Cross multiply
    49,389.80x = 74,019.90 × 19,783.40
  4. Step 4: Simplify right side
    49,389.80x = 1,464,365,289.66
  5. Step 5: Solve for x
    x = 1,464,365,289.66/49,389.80
  6. Step 6: Final answer
    x = 29,649.14

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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.