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Finding the Fourth Proportional to 105,059.23, 157,590.23 and 33,009.80

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Solution

The fourth proportional to 105,059.23, 157,590.23 and 33,009.80 is: 49,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,059.23 : 157,590.23 = 33,009.80 : x
  2. Step 2: Convert to fraction form
    105,059.23/157,590.23 = 33,009.80/x
  3. Step 3: Cross multiply
    105,059.23x = 157,590.23 × 33,009.80
  4. Step 4: Simplify right side
    105,059.23x = 5,202,021,974.25
  5. Step 5: Solve for x
    x = 5,202,021,974.25/105,059.23
  6. Step 6: Final answer
    x = 49,515.14

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1.5x scale

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.