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Finding the Fourth Proportional to 47,777.40, 71,666.10 and 41,216.40

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Solution

The fourth proportional to 47,777.40, 71,666.10 and 41,216.40 is: 61,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.40 : 71,666.10 = 41,216.40 : x
  2. Step 2: Convert to fraction form
    47,777.40/71,666.10 = 41,216.40/x
  3. Step 3: Cross multiply
    47,777.40x = 71,666.10 × 41,216.40
  4. Step 4: Simplify right side
    47,777.40x = 2,953,818,644.04
  5. Step 5: Solve for x
    x = 2,953,818,644.04/47,777.40
  6. Step 6: Final answer
    x = 61,824.60

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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.