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Finding the Fourth Proportional to 82,246.94, 123,362.10 and 55,762.98

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Solution

The fourth proportional to 82,246.94, 123,362.10 and 55,762.98 is: 83,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.94 : 123,362.10 = 55,762.98 : x
  2. Step 2: Convert to fraction form
    82,246.94/123,362.10 = 55,762.98/x
  3. Step 3: Cross multiply
    82,246.94x = 123,362.10 × 55,762.98
  4. Step 4: Simplify right side
    82,246.94x = 6,879,038,315.06
  5. Step 5: Solve for x
    x = 6,879,038,315.06/82,246.94
  6. Step 6: Final answer
    x = 83,638.84

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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.