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Finding the Fourth Proportional to 76,109.62, 114,130.68 and 40,564.32

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Solution

The fourth proportional to 76,109.62, 114,130.68 and 40,564.32 is: 60,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.62 : 114,130.68 = 40,564.32 : x
  2. Step 2: Convert to fraction form
    76,109.62/114,130.68 = 40,564.32/x
  3. Step 3: Cross multiply
    76,109.62x = 114,130.68 × 40,564.32
  4. Step 4: Simplify right side
    76,109.62x = 4,629,633,425.34
  5. Step 5: Solve for x
    x = 4,629,633,425.34/76,109.62
  6. Step 6: Final answer
    x = 60,828.49

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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.