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Finding the Fourth Proportional to 58,947, 81,355.10 and 37,771.38

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Solution

The fourth proportional to 58,947, 81,355.10 and 37,771.38 is: 52,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,947 : 81,355.10 = 37,771.38 : x
  2. Step 2: Convert to fraction form
    58,947/81,355.10 = 37,771.38/x
  3. Step 3: Cross multiply
    58,947x = 81,355.10 × 37,771.38
  4. Step 4: Simplify right side
    58,947x = 3,072,894,208.18
  5. Step 5: Solve for x
    x = 3,072,894,208.18/58,947
  6. Step 6: Final answer
    x = 52,129.78

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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.