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Finding the Fourth Proportional to 32,464.81, 44,802 and 19,045.72

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Solution

The fourth proportional to 32,464.81, 44,802 and 19,045.72 is: 26,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.81 : 44,802 = 19,045.72 : x
  2. Step 2: Convert to fraction form
    32,464.81/44,802 = 19,045.72/x
  3. Step 3: Cross multiply
    32,464.81x = 44,802 × 19,045.72
  4. Step 4: Simplify right side
    32,464.81x = 853,286,347.44
  5. Step 5: Solve for x
    x = 853,286,347.44/32,464.81
  6. Step 6: Final answer
    x = 26,283.42

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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.