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Finding the Fourth Proportional to 64,902.94, 89,534.82 and 38,028.76

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Solution

The fourth proportional to 64,902.94, 89,534.82 and 38,028.76 is: 52,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.94 : 89,534.82 = 38,028.76 : x
  2. Step 2: Convert to fraction form
    64,902.94/89,534.82 = 38,028.76/x
  3. Step 3: Cross multiply
    64,902.94x = 89,534.82 × 38,028.76
  4. Step 4: Simplify right side
    64,902.94x = 3,404,898,181.42
  5. Step 5: Solve for x
    x = 3,404,898,181.42/64,902.94
  6. Step 6: Final answer
    x = 52,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.