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Finding the Fourth Proportional to 105,894.09, 158,794.49 and 49,750.16

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Solution

The fourth proportional to 105,894.09, 158,794.49 and 49,750.16 is: 74,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.09 : 158,794.49 = 49,750.16 : x
  2. Step 2: Convert to fraction form
    105,894.09/158,794.49 = 49,750.16/x
  3. Step 3: Cross multiply
    105,894.09x = 158,794.49 × 49,750.16
  4. Step 4: Simplify right side
    105,894.09x = 7,900,050,615.02
  5. Step 5: Solve for x
    x = 7,900,050,615.02/105,894.09
  6. Step 6: Final answer
    x = 74,603.32

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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.