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Finding the Fourth Proportional to 105,749.02, 158,615.12 and 42,524.58

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Solution

The fourth proportional to 105,749.02, 158,615.12 and 42,524.58 is: 63,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,749.02 : 158,615.12 = 42,524.58 : x
  2. Step 2: Convert to fraction form
    105,749.02/158,615.12 = 42,524.58/x
  3. Step 3: Cross multiply
    105,749.02x = 158,615.12 × 42,524.58
  4. Step 4: Simplify right side
    105,749.02x = 6,745,041,359.65
  5. Step 5: Solve for x
    x = 6,745,041,359.65/105,749.02
  6. Step 6: Final answer
    x = 63,783.49

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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.