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Finding the Fourth Proportional to 77,673.44, 116,487.62 and 30,277.98

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Solution

The fourth proportional to 77,673.44, 116,487.62 and 30,277.98 is: 45,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,673.44 : 116,487.62 = 30,277.98 : x
  2. Step 2: Convert to fraction form
    77,673.44/116,487.62 = 30,277.98/x
  3. Step 3: Cross multiply
    77,673.44x = 116,487.62 × 30,277.98
  4. Step 4: Simplify right side
    77,673.44x = 3,527,009,828.61
  5. Step 5: Solve for x
    x = 3,527,009,828.61/77,673.44
  6. Step 6: Final answer
    x = 45,408.18

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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.