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Finding the Fourth Proportional to 65,014, 89,719.32 and 35,206

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Solution

The fourth proportional to 65,014, 89,719.32 and 35,206 is: 48,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014 : 89,719.32 = 35,206 : x
  2. Step 2: Convert to fraction form
    65,014/89,719.32 = 35,206/x
  3. Step 3: Cross multiply
    65,014x = 89,719.32 × 35,206
  4. Step 4: Simplify right side
    65,014x = 3,158,658,379.92
  5. Step 5: Solve for x
    x = 3,158,658,379.92/65,014
  6. Step 6: Final answer
    x = 48,584.28

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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.