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Finding the Fourth Proportional to 38,709.40, 53,417.46 and 21,942.04

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Solution

The fourth proportional to 38,709.40, 53,417.46 and 21,942.04 is: 30,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.40 : 53,417.46 = 21,942.04 : x
  2. Step 2: Convert to fraction form
    38,709.40/53,417.46 = 21,942.04/x
  3. Step 3: Cross multiply
    38,709.40x = 53,417.46 × 21,942.04
  4. Step 4: Simplify right side
    38,709.40x = 1,172,088,044.02
  5. Step 5: Solve for x
    x = 1,172,088,044.02/38,709.40
  6. Step 6: Final answer
    x = 30,279.16

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