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Finding the Fourth Proportional to 74,666.64, 111,940.74 and 37,206.30

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Solution

The fourth proportional to 74,666.64, 111,940.74 and 37,206.30 is: 55,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,666.64 : 111,940.74 = 37,206.30 : x
  2. Step 2: Convert to fraction form
    74,666.64/111,940.74 = 37,206.30/x
  3. Step 3: Cross multiply
    74,666.64x = 111,940.74 × 37,206.30
  4. Step 4: Simplify right side
    74,666.64x = 4,164,900,754.66
  5. Step 5: Solve for x
    x = 4,164,900,754.66/74,666.64
  6. Step 6: Final answer
    x = 55,779.94

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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.