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Finding the Fourth Proportional to 97,897.03, 135,094.72 and 57,613

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Solution

The fourth proportional to 97,897.03, 135,094.72 and 57,613 is: 79,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,897.03 : 135,094.72 = 57,613 : x
  2. Step 2: Convert to fraction form
    97,897.03/135,094.72 = 57,613/x
  3. Step 3: Cross multiply
    97,897.03x = 135,094.72 × 57,613
  4. Step 4: Simplify right side
    97,897.03x = 7,783,212,175.38
  5. Step 5: Solve for x
    x = 7,783,212,175.38/97,897.03
  6. Step 6: Final answer
    x = 79,504.07

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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.