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Finding the Fourth Proportional to 77,420.76, 116,136.54 and 30,673.50

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Solution

The fourth proportional to 77,420.76, 116,136.54 and 30,673.50 is: 46,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,420.76 : 116,136.54 = 30,673.50 : x
  2. Step 2: Convert to fraction form
    77,420.76/116,136.54 = 30,673.50/x
  3. Step 3: Cross multiply
    77,420.76x = 116,136.54 × 30,673.50
  4. Step 4: Simplify right side
    77,420.76x = 3,562,314,159.69
  5. Step 5: Solve for x
    x = 3,562,314,159.69/77,420.76
  6. Step 6: Final answer
    x = 46,012.39

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