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Finding the Fourth Proportional to 65,238.84, 97,857.74 and 38,768.28

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Solution

The fourth proportional to 65,238.84, 97,857.74 and 38,768.28 is: 58,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.84 : 97,857.74 = 38,768.28 : x
  2. Step 2: Convert to fraction form
    65,238.84/97,857.74 = 38,768.28/x
  3. Step 3: Cross multiply
    65,238.84x = 97,857.74 × 38,768.28
  4. Step 4: Simplify right side
    65,238.84x = 3,793,776,361.41
  5. Step 5: Solve for x
    x = 3,793,776,361.41/65,238.84
  6. Step 6: Final answer
    x = 58,152.11

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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.