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Finding the Fourth Proportional to 82,014.90, 113,156.96 and 53,376.69

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Solution

The fourth proportional to 82,014.90, 113,156.96 and 53,376.69 is: 73,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.90 : 113,156.96 = 53,376.69 : x
  2. Step 2: Convert to fraction form
    82,014.90/113,156.96 = 53,376.69/x
  3. Step 3: Cross multiply
    82,014.90x = 113,156.96 × 53,376.69
  4. Step 4: Simplify right side
    82,014.90x = 6,039,944,332.88
  5. Step 5: Solve for x
    x = 6,039,944,332.88/82,014.90
  6. Step 6: Final answer
    x = 73,644.48

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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.