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Finding the Fourth Proportional to 101,576.16, 152,364.24 and 48,975.84

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Solution

The fourth proportional to 101,576.16, 152,364.24 and 48,975.84 is: 73,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,576.16 : 152,364.24 = 48,975.84 : x
  2. Step 2: Convert to fraction form
    101,576.16/152,364.24 = 48,975.84/x
  3. Step 3: Cross multiply
    101,576.16x = 152,364.24 × 48,975.84
  4. Step 4: Simplify right side
    101,576.16x = 7,462,166,639.96
  5. Step 5: Solve for x
    x = 7,462,166,639.96/101,576.16
  6. Step 6: Final answer
    x = 73,463.76

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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.