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Finding the Fourth Proportional to 56,643, 84,958.99 and 17,200.45

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Solution

The fourth proportional to 56,643, 84,958.99 and 17,200.45 is: 25,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643 : 84,958.99 = 17,200.45 : x
  2. Step 2: Convert to fraction form
    56,643/84,958.99 = 17,200.45/x
  3. Step 3: Cross multiply
    56,643x = 84,958.99 × 17,200.45
  4. Step 4: Simplify right side
    56,643x = 1,461,332,859.55
  5. Step 5: Solve for x
    x = 1,461,332,859.55/56,643
  6. Step 6: Final answer
    x = 25,799.00

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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.