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Finding the Fourth Proportional to 97,476, 134,517.29 and 52,764

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Solution

The fourth proportional to 97,476, 134,517.29 and 52,764 is: 72,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,476 : 134,517.29 = 52,764 : x
  2. Step 2: Convert to fraction form
    97,476/134,517.29 = 52,764/x
  3. Step 3: Cross multiply
    97,476x = 134,517.29 × 52,764
  4. Step 4: Simplify right side
    97,476x = 7,097,670,025.74
  5. Step 5: Solve for x
    x = 7,097,670,025.74/97,476
  6. Step 6: Final answer
    x = 72,814.54

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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.