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Finding the Fourth Proportional to 106,090.94, 159,132.32 and 35,970.26

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Solution

The fourth proportional to 106,090.94, 159,132.32 and 35,970.26 is: 53,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,090.94 : 159,132.32 = 35,970.26 : x
  2. Step 2: Convert to fraction form
    106,090.94/159,132.32 = 35,970.26/x
  3. Step 3: Cross multiply
    106,090.94x = 159,132.32 × 35,970.26
  4. Step 4: Simplify right side
    106,090.94x = 5,724,030,924.80
  5. Step 5: Solve for x
    x = 5,724,030,924.80/106,090.94
  6. Step 6: Final answer
    x = 53,954.00

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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.