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Finding the Fourth Proportional to 107,722.66, 161,584.80 and 37,602.04

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Solution

The fourth proportional to 107,722.66, 161,584.80 and 37,602.04 is: 56,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,722.66 : 161,584.80 = 37,602.04 : x
  2. Step 2: Convert to fraction form
    107,722.66/161,584.80 = 37,602.04/x
  3. Step 3: Cross multiply
    107,722.66x = 161,584.80 × 37,602.04
  4. Step 4: Simplify right side
    107,722.66x = 6,075,918,112.99
  5. Step 5: Solve for x
    x = 6,075,918,112.99/107,722.66
  6. Step 6: Final answer
    x = 56,403.34

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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.