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Finding the Fourth Proportional to 77,804.70, 116,725.53 and 25,214.22

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Solution

The fourth proportional to 77,804.70, 116,725.53 and 25,214.22 is: 37,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804.70 : 116,725.53 = 25,214.22 : x
  2. Step 2: Convert to fraction form
    77,804.70/116,725.53 = 25,214.22/x
  3. Step 3: Cross multiply
    77,804.70x = 116,725.53 × 25,214.22
  4. Step 4: Simplify right side
    77,804.70x = 2,943,143,193.04
  5. Step 5: Solve for x
    x = 2,943,143,193.04/77,804.70
  6. Step 6: Final answer
    x = 37,827.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.