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Finding the Fourth Proportional to 82,406.17, 123,482.03 and 55,647.30

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Solution

The fourth proportional to 82,406.17, 123,482.03 and 55,647.30 is: 83,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.17 : 123,482.03 = 55,647.30 : x
  2. Step 2: Convert to fraction form
    82,406.17/123,482.03 = 55,647.30/x
  3. Step 3: Cross multiply
    82,406.17x = 123,482.03 × 55,647.30
  4. Step 4: Simplify right side
    82,406.17x = 6,871,440,950.61
  5. Step 5: Solve for x
    x = 6,871,440,950.61/82,406.17
  6. Step 6: Final answer
    x = 83,385.03

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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.