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Finding the Fourth Proportional to 65,321.54, 97,971.82 and 17,925.56

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Solution

The fourth proportional to 65,321.54, 97,971.82 and 17,925.56 is: 26,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321.54 : 97,971.82 = 17,925.56 : x
  2. Step 2: Convert to fraction form
    65,321.54/97,971.82 = 17,925.56/x
  3. Step 3: Cross multiply
    65,321.54x = 97,971.82 × 17,925.56
  4. Step 4: Simplify right side
    65,321.54x = 1,756,199,648.09
  5. Step 5: Solve for x
    x = 1,756,199,648.09/65,321.54
  6. Step 6: Final answer
    x = 26,885.46

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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.