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Finding the Fourth Proportional to 50,654.64, 75,973.20 and 13,710

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Solution

The fourth proportional to 50,654.64, 75,973.20 and 13,710 is: 20,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,654.64 : 75,973.20 = 13,710 : x
  2. Step 2: Convert to fraction form
    50,654.64/75,973.20 = 13,710/x
  3. Step 3: Cross multiply
    50,654.64x = 75,973.20 × 13,710
  4. Step 4: Simplify right side
    50,654.64x = 1,041,592,572
  5. Step 5: Solve for x
    x = 1,041,592,572/50,654.64
  6. Step 6: Final answer
    x = 20,562.63

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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.