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Finding the Fourth Proportional to 51,820.14, 77,326.02 and 46,235.09

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Solution

The fourth proportional to 51,820.14, 77,326.02 and 46,235.09 is: 68,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.14 : 77,326.02 = 46,235.09 : x
  2. Step 2: Convert to fraction form
    51,820.14/77,326.02 = 46,235.09/x
  3. Step 3: Cross multiply
    51,820.14x = 77,326.02 × 46,235.09
  4. Step 4: Simplify right side
    51,820.14x = 3,575,175,107.41
  5. Step 5: Solve for x
    x = 3,575,175,107.41/51,820.14
  6. Step 6: Final answer
    x = 68,992.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.