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Finding the Fourth Proportional to 77,708.84, 116,563.27 and 25,118.33

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Solution

The fourth proportional to 77,708.84, 116,563.27 and 25,118.33 is: 37,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.84 : 116,563.27 = 25,118.33 : x
  2. Step 2: Convert to fraction form
    77,708.84/116,563.27 = 25,118.33/x
  3. Step 3: Cross multiply
    77,708.84x = 116,563.27 × 25,118.33
  4. Step 4: Simplify right side
    77,708.84x = 2,927,874,681.74
  5. Step 5: Solve for x
    x = 2,927,874,681.74/77,708.84
  6. Step 6: Final answer
    x = 37,677.50

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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.