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Finding the Fourth Proportional to 51,394.93, 77,097.54 and 13,955.62

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Solution

The fourth proportional to 51,394.93, 77,097.54 and 13,955.62 is: 20,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.93 : 77,097.54 = 13,955.62 : x
  2. Step 2: Convert to fraction form
    51,394.93/77,097.54 = 13,955.62/x
  3. Step 3: Cross multiply
    51,394.93x = 77,097.54 × 13,955.62
  4. Step 4: Simplify right side
    51,394.93x = 1,075,943,971.17
  5. Step 5: Solve for x
    x = 1,075,943,971.17/51,394.93
  6. Step 6: Final answer
    x = 20,934.83

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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.