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Finding the Fourth Proportional to 97,461.41, 134,496.79 and 52,749.41

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Solution

The fourth proportional to 97,461.41, 134,496.79 and 52,749.41 is: 72,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.41 : 134,496.79 = 52,749.41 : x
  2. Step 2: Convert to fraction form
    97,461.41/134,496.79 = 52,749.41/x
  3. Step 3: Cross multiply
    97,461.41x = 134,496.79 × 52,749.41
  4. Step 4: Simplify right side
    97,461.41x = 7,094,625,515.04
  5. Step 5: Solve for x
    x = 7,094,625,515.04/97,461.41
  6. Step 6: Final answer
    x = 72,794.21

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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.