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Finding the Fourth Proportional to 38,464.04, 53,072.14 and 28,914.14

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Solution

The fourth proportional to 38,464.04, 53,072.14 and 28,914.14 is: 39,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.04 : 53,072.14 = 28,914.14 : x
  2. Step 2: Convert to fraction form
    38,464.04/53,072.14 = 28,914.14/x
  3. Step 3: Cross multiply
    38,464.04x = 53,072.14 × 28,914.14
  4. Step 4: Simplify right side
    38,464.04x = 1,534,535,286.06
  5. Step 5: Solve for x
    x = 1,534,535,286.06/38,464.04
  6. Step 6: Final answer
    x = 39,895.32

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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.