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Finding the Fourth Proportional to 82,035, 122,968.44 and 62,271.72

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Solution

The fourth proportional to 82,035, 122,968.44 and 62,271.72 is: 93,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,035 : 122,968.44 = 62,271.72 : x
  2. Step 2: Convert to fraction form
    82,035/122,968.44 = 62,271.72/x
  3. Step 3: Cross multiply
    82,035x = 122,968.44 × 62,271.72
  4. Step 4: Simplify right side
    82,035x = 7,657,456,264.52
  5. Step 5: Solve for x
    x = 7,657,456,264.52/82,035
  6. Step 6: Final answer
    x = 93,343.77

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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.