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Finding the Fourth Proportional to 102,582.76, 153,757.48 and 43,381.48

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Solution

The fourth proportional to 102,582.76, 153,757.48 and 43,381.48 is: 65,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582.76 : 153,757.48 = 43,381.48 : x
  2. Step 2: Convert to fraction form
    102,582.76/153,757.48 = 43,381.48/x
  3. Step 3: Cross multiply
    102,582.76x = 153,757.48 × 43,381.48
  4. Step 4: Simplify right side
    102,582.76x = 6,670,227,043.47
  5. Step 5: Solve for x
    x = 6,670,227,043.47/102,582.76
  6. Step 6: Final answer
    x = 65,022.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.