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Finding the Fourth Proportional to 101,834.07, 152,764.53 and 37,783.50

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Solution

The fourth proportional to 101,834.07, 152,764.53 and 37,783.50 is: 56,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,834.07 : 152,764.53 = 37,783.50 : x
  2. Step 2: Convert to fraction form
    101,834.07/152,764.53 = 37,783.50/x
  3. Step 3: Cross multiply
    101,834.07x = 152,764.53 × 37,783.50
  4. Step 4: Simplify right side
    101,834.07x = 5,771,978,430.34
  5. Step 5: Solve for x
    x = 5,771,978,430.34/101,834.07
  6. Step 6: Final answer
    x = 56,680.23

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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.