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Finding the Fourth Proportional to 32,554.96, 44,927.40 and 18,412.24

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Solution

The fourth proportional to 32,554.96, 44,927.40 and 18,412.24 is: 25,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554.96 : 44,927.40 = 18,412.24 : x
  2. Step 2: Convert to fraction form
    32,554.96/44,927.40 = 18,412.24/x
  3. Step 3: Cross multiply
    32,554.96x = 44,927.40 × 18,412.24
  4. Step 4: Simplify right side
    32,554.96x = 827,214,071.38
  5. Step 5: Solve for x
    x = 827,214,071.38/32,554.96
  6. Step 6: Final answer
    x = 25,409.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.