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Finding the Fourth Proportional to 65,018, 89,724.84 and 35,210

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Solution

The fourth proportional to 65,018, 89,724.84 and 35,210 is: 48,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018 : 89,724.84 = 35,210 : x
  2. Step 2: Convert to fraction form
    65,018/89,724.84 = 35,210/x
  3. Step 3: Cross multiply
    65,018x = 89,724.84 × 35,210
  4. Step 4: Simplify right side
    65,018x = 3,159,211,616.40
  5. Step 5: Solve for x
    x = 3,159,211,616.40/65,018
  6. Step 6: Final answer
    x = 48,589.80

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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.