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Finding the Fourth Proportional to 65,393.72, 98,091.48 and 18,646.59

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Solution

The fourth proportional to 65,393.72, 98,091.48 and 18,646.59 is: 27,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393.72 : 98,091.48 = 18,646.59 : x
  2. Step 2: Convert to fraction form
    65,393.72/98,091.48 = 18,646.59/x
  3. Step 3: Cross multiply
    65,393.72x = 98,091.48 × 18,646.59
  4. Step 4: Simplify right side
    65,393.72x = 1,829,071,610.05
  5. Step 5: Solve for x
    x = 1,829,071,610.05/65,393.72
  6. Step 6: Final answer
    x = 27,970.14

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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.