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Finding the Fourth Proportional to 47,658, 71,437.11 and 16,057.14

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Solution

The fourth proportional to 47,658, 71,437.11 and 16,057.14 is: 24,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658 : 71,437.11 = 16,057.14 : x
  2. Step 2: Convert to fraction form
    47,658/71,437.11 = 16,057.14/x
  3. Step 3: Cross multiply
    47,658x = 71,437.11 × 16,057.14
  4. Step 4: Simplify right side
    47,658x = 1,147,075,676.47
  5. Step 5: Solve for x
    x = 1,147,075,676.47/47,658
  6. Step 6: Final answer
    x = 24,068.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.