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Finding the Fourth Proportional to 65,022.18, 89,730.72 and 35,214.18

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Solution

The fourth proportional to 65,022.18, 89,730.72 and 35,214.18 is: 48,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.18 : 89,730.72 = 35,214.18 : x
  2. Step 2: Convert to fraction form
    65,022.18/89,730.72 = 35,214.18/x
  3. Step 3: Cross multiply
    65,022.18x = 89,730.72 × 35,214.18
  4. Step 4: Simplify right side
    65,022.18x = 3,159,793,725.61
  5. Step 5: Solve for x
    x = 3,159,793,725.61/65,022.18
  6. Step 6: Final answer
    x = 48,595.63

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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.