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Finding the Fourth Proportional to 51,056.94, 70,384.72 and 33,800.38

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Solution

The fourth proportional to 51,056.94, 70,384.72 and 33,800.38 is: 46,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,056.94 : 70,384.72 = 33,800.38 : x
  2. Step 2: Convert to fraction form
    51,056.94/70,384.72 = 33,800.38/x
  3. Step 3: Cross multiply
    51,056.94x = 70,384.72 × 33,800.38
  4. Step 4: Simplify right side
    51,056.94x = 2,379,030,282.19
  5. Step 5: Solve for x
    x = 2,379,030,282.19/51,056.94
  6. Step 6: Final answer
    x = 46,595.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.