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Finding the Fourth Proportional to 43,301.98, 64,954.80 and 13,719.16

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Solution

The fourth proportional to 43,301.98, 64,954.80 and 13,719.16 is: 20,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,301.98 : 64,954.80 = 13,719.16 : x
  2. Step 2: Convert to fraction form
    43,301.98/64,954.80 = 13,719.16/x
  3. Step 3: Cross multiply
    43,301.98x = 64,954.80 × 13,719.16
  4. Step 4: Simplify right side
    43,301.98x = 891,125,293.97
  5. Step 5: Solve for x
    x = 891,125,293.97/43,301.98
  6. Step 6: Final answer
    x = 20,579.32

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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.