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Finding the Fourth Proportional to 51,338.64, 70,827.84 and 33,448.98

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Solution

The fourth proportional to 51,338.64, 70,827.84 and 33,448.98 is: 46,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338.64 : 70,827.84 = 33,448.98 : x
  2. Step 2: Convert to fraction form
    51,338.64/70,827.84 = 33,448.98/x
  3. Step 3: Cross multiply
    51,338.64x = 70,827.84 × 33,448.98
  4. Step 4: Simplify right side
    51,338.64x = 2,369,119,003.60
  5. Step 5: Solve for x
    x = 2,369,119,003.60/51,338.64
  6. Step 6: Final answer
    x = 46,146.90

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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.