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Finding the Fourth Proportional to 82,905.58, 114,377.22 and 51,019.12

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Solution

The fourth proportional to 82,905.58, 114,377.22 and 51,019.12 is: 70,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,905.58 : 114,377.22 = 51,019.12 : x
  2. Step 2: Convert to fraction form
    82,905.58/114,377.22 = 51,019.12/x
  3. Step 3: Cross multiply
    82,905.58x = 114,377.22 × 51,019.12
  4. Step 4: Simplify right side
    82,905.58x = 5,835,424,826.50
  5. Step 5: Solve for x
    x = 5,835,424,826.50/82,905.58
  6. Step 6: Final answer
    x = 70,386.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.