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Finding the Fourth Proportional to 47,576.17, 65,625.40 and 30,602.53

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Solution

The fourth proportional to 47,576.17, 65,625.40 and 30,602.53 is: 42,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.17 : 65,625.40 = 30,602.53 : x
  2. Step 2: Convert to fraction form
    47,576.17/65,625.40 = 30,602.53/x
  3. Step 3: Cross multiply
    47,576.17x = 65,625.40 × 30,602.53
  4. Step 4: Simplify right side
    47,576.17x = 2,008,303,272.26
  5. Step 5: Solve for x
    x = 2,008,303,272.26/47,576.17
  6. Step 6: Final answer
    x = 42,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.