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Finding the Fourth Proportional to 60,851, 83,974.38 and 34,355

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Solution

The fourth proportional to 60,851, 83,974.38 and 34,355 is: 47,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,851 : 83,974.38 = 34,355 : x
  2. Step 2: Convert to fraction form
    60,851/83,974.38 = 34,355/x
  3. Step 3: Cross multiply
    60,851x = 83,974.38 × 34,355
  4. Step 4: Simplify right side
    60,851x = 2,884,939,824.90
  5. Step 5: Solve for x
    x = 2,884,939,824.90/60,851
  6. Step 6: Final answer
    x = 47,409.90

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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.