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Finding the Fourth Proportional to 105,643.44, 158,490 and 46,483.92

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Solution

The fourth proportional to 105,643.44, 158,490 and 46,483.92 is: 69,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,643.44 : 158,490 = 46,483.92 : x
  2. Step 2: Convert to fraction form
    105,643.44/158,490 = 46,483.92/x
  3. Step 3: Cross multiply
    105,643.44x = 158,490 × 46,483.92
  4. Step 4: Simplify right side
    105,643.44x = 7,367,236,480.80
  5. Step 5: Solve for x
    x = 7,367,236,480.80/105,643.44
  6. Step 6: Final answer
    x = 69,736.81

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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.