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Finding the Fourth Proportional to 98,570.23, 135,979.50 and 64,564

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Solution

The fourth proportional to 98,570.23, 135,979.50 and 64,564 is: 89,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,570.23 : 135,979.50 = 64,564 : x
  2. Step 2: Convert to fraction form
    98,570.23/135,979.50 = 64,564/x
  3. Step 3: Cross multiply
    98,570.23x = 135,979.50 × 64,564
  4. Step 4: Simplify right side
    98,570.23x = 8,779,380,438
  5. Step 5: Solve for x
    x = 8,779,380,438/98,570.23
  6. Step 6: Final answer
    x = 89,067.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.