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Finding the Fourth Proportional to 65,051.56, 97,575.76 and 29,991.20

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Solution

The fourth proportional to 65,051.56, 97,575.76 and 29,991.20 is: 44,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.56 : 97,575.76 = 29,991.20 : x
  2. Step 2: Convert to fraction form
    65,051.56/97,575.76 = 29,991.20/x
  3. Step 3: Cross multiply
    65,051.56x = 97,575.76 × 29,991.20
  4. Step 4: Simplify right side
    65,051.56x = 2,926,414,133.31
  5. Step 5: Solve for x
    x = 2,926,414,133.31/65,051.56
  6. Step 6: Final answer
    x = 44,986.07

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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.