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Finding the Fourth Proportional to 43,232, 64,848.02 and 10,400

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Solution

The fourth proportional to 43,232, 64,848.02 and 10,400 is: 15,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,232 : 64,848.02 = 10,400 : x
  2. Step 2: Convert to fraction form
    43,232/64,848.02 = 10,400/x
  3. Step 3: Cross multiply
    43,232x = 64,848.02 × 10,400
  4. Step 4: Simplify right side
    43,232x = 674,419,408
  5. Step 5: Solve for x
    x = 674,419,408/43,232
  6. Step 6: Final answer
    x = 15,600.00

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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.