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Finding the Fourth Proportional to 65,068.68, 97,537.41 and 49,453.50

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Solution

The fourth proportional to 65,068.68, 97,537.41 and 49,453.50 is: 74,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,068.68 : 97,537.41 = 49,453.50 : x
  2. Step 2: Convert to fraction form
    65,068.68/97,537.41 = 49,453.50/x
  3. Step 3: Cross multiply
    65,068.68x = 97,537.41 × 49,453.50
  4. Step 4: Simplify right side
    65,068.68x = 4,823,566,305.44
  5. Step 5: Solve for x
    x = 4,823,566,305.44/65,068.68
  6. Step 6: Final answer
    x = 74,130.39

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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.