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Finding the Fourth Proportional to 105,776.25, 158,656.93 and 49,628.67

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Solution

The fourth proportional to 105,776.25, 158,656.93 and 49,628.67 is: 74,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,776.25 : 158,656.93 = 49,628.67 : x
  2. Step 2: Convert to fraction form
    105,776.25/158,656.93 = 49,628.67/x
  3. Step 3: Cross multiply
    105,776.25x = 158,656.93 × 49,628.67
  4. Step 4: Simplify right side
    105,776.25x = 7,873,931,703.15
  5. Step 5: Solve for x
    x = 7,873,931,703.15/105,776.25
  6. Step 6: Final answer
    x = 74,439.51

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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.