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Finding the Fourth Proportional to 90,720.36, 135,883.62 and 43,875

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Solution

The fourth proportional to 90,720.36, 135,883.62 and 43,875 is: 65,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,720.36 : 135,883.62 = 43,875 : x
  2. Step 2: Convert to fraction form
    90,720.36/135,883.62 = 43,875/x
  3. Step 3: Cross multiply
    90,720.36x = 135,883.62 × 43,875
  4. Step 4: Simplify right side
    90,720.36x = 5,961,893,827.50
  5. Step 5: Solve for x
    x = 5,961,893,827.50/90,720.36
  6. Step 6: Final answer
    x = 65,717.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.