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Finding the Fourth Proportional to 65,321, 90,143.62 and 35,513.64

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Solution

The fourth proportional to 65,321, 90,143.62 and 35,513.64 is: 49,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321 : 90,143.62 = 35,513.64 : x
  2. Step 2: Convert to fraction form
    65,321/90,143.62 = 35,513.64/x
  3. Step 3: Cross multiply
    65,321x = 90,143.62 × 35,513.64
  4. Step 4: Simplify right side
    65,321x = 3,201,328,068.98
  5. Step 5: Solve for x
    x = 3,201,328,068.98/65,321
  6. Step 6: Final answer
    x = 49,009.17

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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.