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Finding the Fourth Proportional to 49,784.94, 74,674.94 and 18,617.76

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Solution

The fourth proportional to 49,784.94, 74,674.94 and 18,617.76 is: 27,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.94 : 74,674.94 = 18,617.76 : x
  2. Step 2: Convert to fraction form
    49,784.94/74,674.94 = 18,617.76/x
  3. Step 3: Cross multiply
    49,784.94x = 74,674.94 × 18,617.76
  4. Step 4: Simplify right side
    49,784.94x = 1,390,280,110.93
  5. Step 5: Solve for x
    x = 1,390,280,110.93/49,784.94
  6. Step 6: Final answer
    x = 27,925.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.