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Finding the Fourth Proportional to 76,477.60, 114,732.60 and 23,165.20

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Solution

The fourth proportional to 76,477.60, 114,732.60 and 23,165.20 is: 34,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.60 : 114,732.60 = 23,165.20 : x
  2. Step 2: Convert to fraction form
    76,477.60/114,732.60 = 23,165.20/x
  3. Step 3: Cross multiply
    76,477.60x = 114,732.60 × 23,165.20
  4. Step 4: Simplify right side
    76,477.60x = 2,657,803,625.52
  5. Step 5: Solve for x
    x = 2,657,803,625.52/76,477.60
  6. Step 6: Final answer
    x = 34,752.71

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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.