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Finding the Fourth Proportional to 42,526, 63,789.54 and 14,824

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Solution

The fourth proportional to 42,526, 63,789.54 and 14,824 is: 22,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,526 : 63,789.54 = 14,824 : x
  2. Step 2: Convert to fraction form
    42,526/63,789.54 = 14,824/x
  3. Step 3: Cross multiply
    42,526x = 63,789.54 × 14,824
  4. Step 4: Simplify right side
    42,526x = 945,616,140.96
  5. Step 5: Solve for x
    x = 945,616,140.96/42,526
  6. Step 6: Final answer
    x = 22,236.19

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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.