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Finding the Fourth Proportional to 56,201, 84,306.36 and 14,648

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Solution

The fourth proportional to 56,201, 84,306.36 and 14,648 is: 21,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,201 : 84,306.36 = 14,648 : x
  2. Step 2: Convert to fraction form
    56,201/84,306.36 = 14,648/x
  3. Step 3: Cross multiply
    56,201x = 84,306.36 × 14,648
  4. Step 4: Simplify right side
    56,201x = 1,234,919,561.28
  5. Step 5: Solve for x
    x = 1,234,919,561.28/56,201
  6. Step 6: Final answer
    x = 21,973.27

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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.