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Finding the Fourth Proportional to 74,584.22, 102,666.27 and 65,007.46

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Solution

The fourth proportional to 74,584.22, 102,666.27 and 65,007.46 is: 89,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,584.22 : 102,666.27 = 65,007.46 : x
  2. Step 2: Convert to fraction form
    74,584.22/102,666.27 = 65,007.46/x
  3. Step 3: Cross multiply
    74,584.22x = 102,666.27 × 65,007.46
  4. Step 4: Simplify right side
    74,584.22x = 6,674,073,372.00
  5. Step 5: Solve for x
    x = 6,674,073,372.00/74,584.22
  6. Step 6: Final answer
    x = 89,483.72

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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.