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Finding the Fourth Proportional to 76,386.49, 114,585.86 and 29,024.27

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Solution

The fourth proportional to 76,386.49, 114,585.86 and 29,024.27 is: 43,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.49 : 114,585.86 = 29,024.27 : x
  2. Step 2: Convert to fraction form
    76,386.49/114,585.86 = 29,024.27/x
  3. Step 3: Cross multiply
    76,386.49x = 114,585.86 × 29,024.27
  4. Step 4: Simplify right side
    76,386.49x = 3,325,770,220.77
  5. Step 5: Solve for x
    x = 3,325,770,220.77/76,386.49
  6. Step 6: Final answer
    x = 43,538.72

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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.