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Finding the Fourth Proportional to 106,653.16, 160,026.45 and 50,533.32

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Solution

The fourth proportional to 106,653.16, 160,026.45 and 50,533.32 is: 75,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,653.16 : 160,026.45 = 50,533.32 : x
  2. Step 2: Convert to fraction form
    106,653.16/160,026.45 = 50,533.32/x
  3. Step 3: Cross multiply
    106,653.16x = 160,026.45 × 50,533.32
  4. Step 4: Simplify right side
    106,653.16x = 8,086,667,806.31
  5. Step 5: Solve for x
    x = 8,086,667,806.31/106,653.16
  6. Step 6: Final answer
    x = 75,822.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.