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Finding the Fourth Proportional to 49,817.84, 74,740.42 and 24,827.72

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Solution

The fourth proportional to 49,817.84, 74,740.42 and 24,827.72 is: 37,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,817.84 : 74,740.42 = 24,827.72 : x
  2. Step 2: Convert to fraction form
    49,817.84/74,740.42 = 24,827.72/x
  3. Step 3: Cross multiply
    49,817.84x = 74,740.42 × 24,827.72
  4. Step 4: Simplify right side
    49,817.84x = 1,855,633,877.77
  5. Step 5: Solve for x
    x = 1,855,633,877.77/49,817.84
  6. Step 6: Final answer
    x = 37,248.38

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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.