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Finding the Fourth Proportional to 76,542.36, 114,706.62 and 37,089

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Solution

The fourth proportional to 76,542.36, 114,706.62 and 37,089 is: 55,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.36 : 114,706.62 = 37,089 : x
  2. Step 2: Convert to fraction form
    76,542.36/114,706.62 = 37,089/x
  3. Step 3: Cross multiply
    76,542.36x = 114,706.62 × 37,089
  4. Step 4: Simplify right side
    76,542.36x = 4,254,353,829.18
  5. Step 5: Solve for x
    x = 4,254,353,829.18/76,542.36
  6. Step 6: Final answer
    x = 55,581.69

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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.