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Finding the Fourth Proportional to 97,896.50, 135,097.18 and 53,184.50

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Solution

The fourth proportional to 97,896.50, 135,097.18 and 53,184.50 is: 73,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896.50 : 135,097.18 = 53,184.50 : x
  2. Step 2: Convert to fraction form
    97,896.50/135,097.18 = 53,184.50/x
  3. Step 3: Cross multiply
    97,896.50x = 135,097.18 × 53,184.50
  4. Step 4: Simplify right side
    97,896.50x = 7,185,075,969.71
  5. Step 5: Solve for x
    x = 7,185,075,969.71/97,896.50
  6. Step 6: Final answer
    x = 73,394.62

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Why These Related Problems?

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