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Finding the Fourth Proportional to 97,474.50, 134,515.22 and 52,762.50

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Solution

The fourth proportional to 97,474.50, 134,515.22 and 52,762.50 is: 72,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474.50 : 134,515.22 = 52,762.50 : x
  2. Step 2: Convert to fraction form
    97,474.50/134,515.22 = 52,762.50/x
  3. Step 3: Cross multiply
    97,474.50x = 134,515.22 × 52,762.50
  4. Step 4: Simplify right side
    97,474.50x = 7,097,359,031.44
  5. Step 5: Solve for x
    x = 7,097,359,031.44/97,474.50
  6. Step 6: Final answer
    x = 72,812.47

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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.