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Finding the Fourth Proportional to 77,364, 116,047.62 and 24,773.33

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Solution

The fourth proportional to 77,364, 116,047.62 and 24,773.33 is: 37,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364 : 116,047.62 = 24,773.33 : x
  2. Step 2: Convert to fraction form
    77,364/116,047.62 = 24,773.33/x
  3. Step 3: Cross multiply
    77,364x = 116,047.62 × 24,773.33
  4. Step 4: Simplify right side
    77,364x = 2,874,885,985.97
  5. Step 5: Solve for x
    x = 2,874,885,985.97/77,364
  6. Step 6: Final answer
    x = 37,160.51

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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.