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Finding the Fourth Proportional to 49,491.57, 74,237.50 and 12,051.64

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Solution

The fourth proportional to 49,491.57, 74,237.50 and 12,051.64 is: 18,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491.57 : 74,237.50 = 12,051.64 : x
  2. Step 2: Convert to fraction form
    49,491.57/74,237.50 = 12,051.64/x
  3. Step 3: Cross multiply
    49,491.57x = 74,237.50 × 12,051.64
  4. Step 4: Simplify right side
    49,491.57x = 894,683,253.31
  5. Step 5: Solve for x
    x = 894,683,253.31/49,491.57
  6. Step 6: Final answer
    x = 18,077.49

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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.