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Finding the Fourth Proportional to 65,123.10, 97,660.35 and 25,672.05

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Solution

The fourth proportional to 65,123.10, 97,660.35 and 25,672.05 is: 38,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.10 : 97,660.35 = 25,672.05 : x
  2. Step 2: Convert to fraction form
    65,123.10/97,660.35 = 25,672.05/x
  3. Step 3: Cross multiply
    65,123.10x = 97,660.35 × 25,672.05
  4. Step 4: Simplify right side
    65,123.10x = 2,507,141,388.22
  5. Step 5: Solve for x
    x = 2,507,141,388.22/65,123.10
  6. Step 6: Final answer
    x = 38,498.50

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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.