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Finding the Fourth Proportional to 45,461, 68,193.93 and 14,298.68

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Solution

The fourth proportional to 45,461, 68,193.93 and 14,298.68 is: 21,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461 : 68,193.93 = 14,298.68 : x
  2. Step 2: Convert to fraction form
    45,461/68,193.93 = 14,298.68/x
  3. Step 3: Cross multiply
    45,461x = 68,193.93 × 14,298.68
  4. Step 4: Simplify right side
    45,461x = 975,083,183.01
  5. Step 5: Solve for x
    x = 975,083,183.01/45,461
  6. Step 6: Final answer
    x = 21,448.78

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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.