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Finding the Fourth Proportional to 102,953.98, 154,429.35 and 32,832.82

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Solution

The fourth proportional to 102,953.98, 154,429.35 and 32,832.82 is: 49,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,953.98 : 154,429.35 = 32,832.82 : x
  2. Step 2: Convert to fraction form
    102,953.98/154,429.35 = 32,832.82/x
  3. Step 3: Cross multiply
    102,953.98x = 154,429.35 × 32,832.82
  4. Step 4: Simplify right side
    102,953.98x = 5,070,351,051.27
  5. Step 5: Solve for x
    x = 5,070,351,051.27/102,953.98
  6. Step 6: Final answer
    x = 49,248.71

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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.