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Finding the Fourth Proportional to 119,851.64, 179,776.02 and 31,097.24

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Solution

The fourth proportional to 119,851.64, 179,776.02 and 31,097.24 is: 46,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,851.64 : 179,776.02 = 31,097.24 : x
  2. Step 2: Convert to fraction form
    119,851.64/179,776.02 = 31,097.24/x
  3. Step 3: Cross multiply
    119,851.64x = 179,776.02 × 31,097.24
  4. Step 4: Simplify right side
    119,851.64x = 5,590,538,040.18
  5. Step 5: Solve for x
    x = 5,590,538,040.18/119,851.64
  6. Step 6: Final answer
    x = 46,645.49

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