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Finding the Fourth Proportional to 85,642.50, 128,465.36 and 23,313

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Solution

The fourth proportional to 85,642.50, 128,465.36 and 23,313 is: 34,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,642.50 : 128,465.36 = 23,313 : x
  2. Step 2: Convert to fraction form
    85,642.50/128,465.36 = 23,313/x
  3. Step 3: Cross multiply
    85,642.50x = 128,465.36 × 23,313
  4. Step 4: Simplify right side
    85,642.50x = 2,994,912,937.68
  5. Step 5: Solve for x
    x = 2,994,912,937.68/85,642.50
  6. Step 6: Final answer
    x = 34,969.94

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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.