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Finding the Fourth Proportional to 89,095.38, 122,951.62 and 53,285.40

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Solution

The fourth proportional to 89,095.38, 122,951.62 and 53,285.40 is: 73,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,095.38 : 122,951.62 = 53,285.40 : x
  2. Step 2: Convert to fraction form
    89,095.38/122,951.62 = 53,285.40/x
  3. Step 3: Cross multiply
    89,095.38x = 122,951.62 × 53,285.40
  4. Step 4: Simplify right side
    89,095.38x = 6,551,525,371.16
  5. Step 5: Solve for x
    x = 6,551,525,371.16/89,095.38
  6. Step 6: Final answer
    x = 73,533.84

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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.