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Finding the Fourth Proportional to 105,751.32, 158,668.47 and 46,545.45

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Solution

The fourth proportional to 105,751.32, 158,668.47 and 46,545.45 is: 69,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751.32 : 158,668.47 = 46,545.45 : x
  2. Step 2: Convert to fraction form
    105,751.32/158,668.47 = 46,545.45/x
  3. Step 3: Cross multiply
    105,751.32x = 158,668.47 × 46,545.45
  4. Step 4: Simplify right side
    105,751.32x = 7,385,295,336.96
  5. Step 5: Solve for x
    x = 7,385,295,336.96/105,751.32
  6. Step 6: Final answer
    x = 69,836.44

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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.