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Finding the Fourth Proportional to 101,984.36, 152,924 and 45,776.28

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Solution

The fourth proportional to 101,984.36, 152,924 and 45,776.28 is: 68,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984.36 : 152,924 = 45,776.28 : x
  2. Step 2: Convert to fraction form
    101,984.36/152,924 = 45,776.28/x
  3. Step 3: Cross multiply
    101,984.36x = 152,924 × 45,776.28
  4. Step 4: Simplify right side
    101,984.36x = 7,000,291,842.72
  5. Step 5: Solve for x
    x = 7,000,291,842.72/101,984.36
  6. Step 6: Final answer
    x = 68,640.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.