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Finding the Fourth Proportional to 97,747.67, 134,891.70 and 53,035.67

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Solution

The fourth proportional to 97,747.67, 134,891.70 and 53,035.67 is: 73,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,747.67 : 134,891.70 = 53,035.67 : x
  2. Step 2: Convert to fraction form
    97,747.67/134,891.70 = 53,035.67/x
  3. Step 3: Cross multiply
    97,747.67x = 134,891.70 × 53,035.67
  4. Step 4: Simplify right side
    97,747.67x = 7,154,071,686.94
  5. Step 5: Solve for x
    x = 7,154,071,686.94/97,747.67
  6. Step 6: Final answer
    x = 73,189.18

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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.