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Finding the Fourth Proportional to 65,022, 89,730.36 and 35,214

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Solution

The fourth proportional to 65,022, 89,730.36 and 35,214 is: 48,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022 : 89,730.36 = 35,214 : x
  2. Step 2: Convert to fraction form
    65,022/89,730.36 = 35,214/x
  3. Step 3: Cross multiply
    65,022x = 89,730.36 × 35,214
  4. Step 4: Simplify right side
    65,022x = 3,159,764,897.04
  5. Step 5: Solve for x
    x = 3,159,764,897.04/65,022
  6. Step 6: Final answer
    x = 48,595.32

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Why These Related Problems?

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