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Finding the Fourth Proportional to 54,666.42, 82,011.14 and 30,985.31

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Solution

The fourth proportional to 54,666.42, 82,011.14 and 30,985.31 is: 46,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,666.42 : 82,011.14 = 30,985.31 : x
  2. Step 2: Convert to fraction form
    54,666.42/82,011.14 = 30,985.31/x
  3. Step 3: Cross multiply
    54,666.42x = 82,011.14 × 30,985.31
  4. Step 4: Simplify right side
    54,666.42x = 2,541,140,596.35
  5. Step 5: Solve for x
    x = 2,541,140,596.35/54,666.42
  6. Step 6: Final answer
    x = 46,484.49

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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.