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Finding the Fourth Proportional to 66,624.06, 99,824.01 and 31,047.06

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Solution

The fourth proportional to 66,624.06, 99,824.01 and 31,047.06 is: 46,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,624.06 : 99,824.01 = 31,047.06 : x
  2. Step 2: Convert to fraction form
    66,624.06/99,824.01 = 31,047.06/x
  3. Step 3: Cross multiply
    66,624.06x = 99,824.01 × 31,047.06
  4. Step 4: Simplify right side
    66,624.06x = 3,099,242,027.91
  5. Step 5: Solve for x
    x = 3,099,242,027.91/66,624.06
  6. Step 6: Final answer
    x = 46,518.36

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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.