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Finding the Fourth Proportional to 102,449.72, 153,674.58 and 32,334.50

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Solution

The fourth proportional to 102,449.72, 153,674.58 and 32,334.50 is: 48,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449.72 : 153,674.58 = 32,334.50 : x
  2. Step 2: Convert to fraction form
    102,449.72/153,674.58 = 32,334.50/x
  3. Step 3: Cross multiply
    102,449.72x = 153,674.58 × 32,334.50
  4. Step 4: Simplify right side
    102,449.72x = 4,968,990,707.01
  5. Step 5: Solve for x
    x = 4,968,990,707.01/102,449.72
  6. Step 6: Final answer
    x = 48,501.75

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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.