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Finding the Fourth Proportional to 97,225, 134,170.59 and 52,513

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Solution

The fourth proportional to 97,225, 134,170.59 and 52,513 is: 72,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225 : 134,170.59 = 52,513 : x
  2. Step 2: Convert to fraction form
    97,225/134,170.59 = 52,513/x
  3. Step 3: Cross multiply
    97,225x = 134,170.59 × 52,513
  4. Step 4: Simplify right side
    97,225x = 7,045,700,192.67
  5. Step 5: Solve for x
    x = 7,045,700,192.67/97,225
  6. Step 6: Final answer
    x = 72,467.99

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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.