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Finding the Fourth Proportional to 64,966, 97,167.48 and 38,248.33

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Solution

The fourth proportional to 64,966, 97,167.48 and 38,248.33 is: 57,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966 : 97,167.48 = 38,248.33 : x
  2. Step 2: Convert to fraction form
    64,966/97,167.48 = 38,248.33/x
  3. Step 3: Cross multiply
    64,966x = 97,167.48 × 38,248.33
  4. Step 4: Simplify right side
    64,966x = 3,716,493,840.31
  5. Step 5: Solve for x
    x = 3,716,493,840.31/64,966
  6. Step 6: Final answer
    x = 57,206.75

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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.