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Finding the Fourth Proportional to 65,330.84, 97,872.63 and 38,596.89

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Solution

The fourth proportional to 65,330.84, 97,872.63 and 38,596.89 is: 57,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,330.84 : 97,872.63 = 38,596.89 : x
  2. Step 2: Convert to fraction form
    65,330.84/97,872.63 = 38,596.89/x
  3. Step 3: Cross multiply
    65,330.84x = 97,872.63 × 38,596.89
  4. Step 4: Simplify right side
    65,330.84x = 3,777,579,134.12
  5. Step 5: Solve for x
    x = 3,777,579,134.12/65,330.84
  6. Step 6: Final answer
    x = 57,822.30

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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.