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Finding the Fourth Proportional to 52,201, 78,313.02 and 19,369

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Solution

The fourth proportional to 52,201, 78,313.02 and 19,369 is: 29,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201 : 78,313.02 = 19,369 : x
  2. Step 2: Convert to fraction form
    52,201/78,313.02 = 19,369/x
  3. Step 3: Cross multiply
    52,201x = 78,313.02 × 19,369
  4. Step 4: Simplify right side
    52,201x = 1,516,844,884.38
  5. Step 5: Solve for x
    x = 1,516,844,884.38/52,201
  6. Step 6: Final answer
    x = 29,057.77

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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.