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Finding the Fourth Proportional to 106,602.50, 159,904.56 and 36,482.42

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Solution

The fourth proportional to 106,602.50, 159,904.56 and 36,482.42 is: 54,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.50 : 159,904.56 = 36,482.42 : x
  2. Step 2: Convert to fraction form
    106,602.50/159,904.56 = 36,482.42/x
  3. Step 3: Cross multiply
    106,602.50x = 159,904.56 × 36,482.42
  4. Step 4: Simplify right side
    106,602.50x = 5,833,705,317.84
  5. Step 5: Solve for x
    x = 5,833,705,317.84/106,602.50
  6. Step 6: Final answer
    x = 54,723.91

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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.