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Finding the Fourth Proportional to 51,199.38, 70,646.56 and 28,533.40

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Solution

The fourth proportional to 51,199.38, 70,646.56 and 28,533.40 is: 39,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,199.38 : 70,646.56 = 28,533.40 : x
  2. Step 2: Convert to fraction form
    51,199.38/70,646.56 = 28,533.40/x
  3. Step 3: Cross multiply
    51,199.38x = 70,646.56 × 28,533.40
  4. Step 4: Simplify right side
    51,199.38x = 2,015,786,555.10
  5. Step 5: Solve for x
    x = 2,015,786,555.10/51,199.38
  6. Step 6: Final answer
    x = 39,371.31

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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.