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Finding the Fourth Proportional to 97,874.41, 135,060.28 and 57,580.38

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Solution

The fourth proportional to 97,874.41, 135,060.28 and 57,580.38 is: 79,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.41 : 135,060.28 = 57,580.38 : x
  2. Step 2: Convert to fraction form
    97,874.41/135,060.28 = 57,580.38/x
  3. Step 3: Cross multiply
    97,874.41x = 135,060.28 × 57,580.38
  4. Step 4: Simplify right side
    97,874.41x = 7,776,821,570.01
  5. Step 5: Solve for x
    x = 7,776,821,570.01/97,874.41
  6. Step 6: Final answer
    x = 79,457.15

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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.