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Finding the Fourth Proportional to 82,061.51, 122,985.34 and 37,049.40

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Solution

The fourth proportional to 82,061.51, 122,985.34 and 37,049.40 is: 55,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,061.51 : 122,985.34 = 37,049.40 : x
  2. Step 2: Convert to fraction form
    82,061.51/122,985.34 = 37,049.40/x
  3. Step 3: Cross multiply
    82,061.51x = 122,985.34 × 37,049.40
  4. Step 4: Simplify right side
    82,061.51x = 4,556,532,963.17
  5. Step 5: Solve for x
    x = 4,556,532,963.17/82,061.51
  6. Step 6: Final answer
    x = 55,525.83

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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.