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Finding the Fourth Proportional to 49,505.94, 74,278.35 and 21,784.50

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Solution

The fourth proportional to 49,505.94, 74,278.35 and 21,784.50 is: 32,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,505.94 : 74,278.35 = 21,784.50 : x
  2. Step 2: Convert to fraction form
    49,505.94/74,278.35 = 21,784.50/x
  3. Step 3: Cross multiply
    49,505.94x = 74,278.35 × 21,784.50
  4. Step 4: Simplify right side
    49,505.94x = 1,618,116,715.58
  5. Step 5: Solve for x
    x = 1,618,116,715.58/49,505.94
  6. Step 6: Final answer
    x = 32,685.30

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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.