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Finding the Fourth Proportional to 102,574.68, 153,846.62 and 32,444.88

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Solution

The fourth proportional to 102,574.68, 153,846.62 and 32,444.88 is: 48,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.68 : 153,846.62 = 32,444.88 : x
  2. Step 2: Convert to fraction form
    102,574.68/153,846.62 = 32,444.88/x
  3. Step 3: Cross multiply
    102,574.68x = 153,846.62 × 32,444.88
  4. Step 4: Simplify right side
    102,574.68x = 4,991,534,355.07
  5. Step 5: Solve for x
    x = 4,991,534,355.07/102,574.68
  6. Step 6: Final answer
    x = 48,662.44

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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.