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Finding the Fourth Proportional to 105,243.48, 157,868.46 and 46,048.68

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Solution

The fourth proportional to 105,243.48, 157,868.46 and 46,048.68 is: 69,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,243.48 : 157,868.46 = 46,048.68 : x
  2. Step 2: Convert to fraction form
    105,243.48/157,868.46 = 46,048.68/x
  3. Step 3: Cross multiply
    105,243.48x = 157,868.46 × 46,048.68
  4. Step 4: Simplify right side
    105,243.48x = 7,269,634,196.63
  5. Step 5: Solve for x
    x = 7,269,634,196.63/105,243.48
  6. Step 6: Final answer
    x = 69,074.44

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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.