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Finding the Fourth Proportional to 65,038.80, 97,564.73 and 17,654.63

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Solution

The fourth proportional to 65,038.80, 97,564.73 and 17,654.63 is: 26,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.80 : 97,564.73 = 17,654.63 : x
  2. Step 2: Convert to fraction form
    65,038.80/97,564.73 = 17,654.63/x
  3. Step 3: Cross multiply
    65,038.80x = 97,564.73 × 17,654.63
  4. Step 4: Simplify right side
    65,038.80x = 1,722,469,505.96
  5. Step 5: Solve for x
    x = 1,722,469,505.96/65,038.80
  6. Step 6: Final answer
    x = 26,483.72

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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.