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Finding the Fourth Proportional to 65,043.81, 97,598.52 and 25,629.21

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Solution

The fourth proportional to 65,043.81, 97,598.52 and 25,629.21 is: 38,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.81 : 97,598.52 = 25,629.21 : x
  2. Step 2: Convert to fraction form
    65,043.81/97,598.52 = 25,629.21/x
  3. Step 3: Cross multiply
    65,043.81x = 97,598.52 × 25,629.21
  4. Step 4: Simplify right side
    65,043.81x = 2,501,372,964.77
  5. Step 5: Solve for x
    x = 2,501,372,964.77/65,043.81
  6. Step 6: Final answer
    x = 38,456.74

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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.