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Finding the Fourth Proportional to 35,800.36, 53,715.66 and 19,156

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Solution

The fourth proportional to 35,800.36, 53,715.66 and 19,156 is: 28,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.36 : 53,715.66 = 19,156 : x
  2. Step 2: Convert to fraction form
    35,800.36/53,715.66 = 19,156/x
  3. Step 3: Cross multiply
    35,800.36x = 53,715.66 × 19,156
  4. Step 4: Simplify right side
    35,800.36x = 1,028,977,182.96
  5. Step 5: Solve for x
    x = 1,028,977,182.96/35,800.36
  6. Step 6: Final answer
    x = 28,742.09

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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.