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Finding the Fourth Proportional to 102,699, 154,054.08 and 32,583.96

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Solution

The fourth proportional to 102,699, 154,054.08 and 32,583.96 is: 48,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,699 : 154,054.08 = 32,583.96 : x
  2. Step 2: Convert to fraction form
    102,699/154,054.08 = 32,583.96/x
  3. Step 3: Cross multiply
    102,699x = 154,054.08 × 32,583.96
  4. Step 4: Simplify right side
    102,699x = 5,019,691,980.56
  5. Step 5: Solve for x
    x = 5,019,691,980.56/102,699
  6. Step 6: Final answer
    x = 48,877.71

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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.