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Finding the Fourth Proportional to 44,729.56, 61,661.74 and 31,259

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Solution

The fourth proportional to 44,729.56, 61,661.74 and 31,259 is: 43,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,729.56 : 61,661.74 = 31,259 : x
  2. Step 2: Convert to fraction form
    44,729.56/61,661.74 = 31,259/x
  3. Step 3: Cross multiply
    44,729.56x = 61,661.74 × 31,259
  4. Step 4: Simplify right side
    44,729.56x = 1,927,484,330.66
  5. Step 5: Solve for x
    x = 1,927,484,330.66/44,729.56
  6. Step 6: Final answer
    x = 43,091.96

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