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Finding the Fourth Proportional to 64,825, 97,266.78 and 37,123

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Solution

The fourth proportional to 64,825, 97,266.78 and 37,123 is: 55,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825 : 97,266.78 = 37,123 : x
  2. Step 2: Convert to fraction form
    64,825/97,266.78 = 37,123/x
  3. Step 3: Cross multiply
    64,825x = 97,266.78 × 37,123
  4. Step 4: Simplify right side
    64,825x = 3,610,834,673.94
  5. Step 5: Solve for x
    x = 3,610,834,673.94/64,825
  6. Step 6: Final answer
    x = 55,701.27

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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.