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Finding the Fourth Proportional to 97,880.67, 135,071.72 and 53,167.71

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Solution

The fourth proportional to 97,880.67, 135,071.72 and 53,167.71 is: 73,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.67 : 135,071.72 = 53,167.71 : x
  2. Step 2: Convert to fraction form
    97,880.67/135,071.72 = 53,167.71/x
  3. Step 3: Cross multiply
    97,880.67x = 135,071.72 × 53,167.71
  4. Step 4: Simplify right side
    97,880.67x = 7,181,453,772.32
  5. Step 5: Solve for x
    x = 7,181,453,772.32/97,880.67
  6. Step 6: Final answer
    x = 73,369.48

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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.