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Finding the Fourth Proportional to 105,653.16, 158,479.74 and 35,532.54

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Solution

The fourth proportional to 105,653.16, 158,479.74 and 35,532.54 is: 53,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,653.16 : 158,479.74 = 35,532.54 : x
  2. Step 2: Convert to fraction form
    105,653.16/158,479.74 = 35,532.54/x
  3. Step 3: Cross multiply
    105,653.16x = 158,479.74 × 35,532.54
  4. Step 4: Simplify right side
    105,653.16x = 5,631,187,700.74
  5. Step 5: Solve for x
    x = 5,631,187,700.74/105,653.16
  6. Step 6: Final answer
    x = 53,298.81

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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.