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Finding the Fourth Proportional to 74,202.62, 102,402.24 and 53,032.46

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Solution

The fourth proportional to 74,202.62, 102,402.24 and 53,032.46 is: 73,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202.62 : 102,402.24 = 53,032.46 : x
  2. Step 2: Convert to fraction form
    74,202.62/102,402.24 = 53,032.46/x
  3. Step 3: Cross multiply
    74,202.62x = 102,402.24 × 53,032.46
  4. Step 4: Simplify right side
    74,202.62x = 5,430,642,696.71
  5. Step 5: Solve for x
    x = 5,430,642,696.71/74,202.62
  6. Step 6: Final answer
    x = 73,186.67

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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.