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Finding the Fourth Proportional to 47,841.98, 66,036.60 and 30,846.24

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Solution

The fourth proportional to 47,841.98, 66,036.60 and 30,846.24 is: 42,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841.98 : 66,036.60 = 30,846.24 : x
  2. Step 2: Convert to fraction form
    47,841.98/66,036.60 = 30,846.24/x
  3. Step 3: Cross multiply
    47,841.98x = 66,036.60 × 30,846.24
  4. Step 4: Simplify right side
    47,841.98x = 2,036,980,812.38
  5. Step 5: Solve for x
    x = 2,036,980,812.38/47,841.98
  6. Step 6: Final answer
    x = 42,577.27

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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.