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Finding the Fourth Proportional to 77,907.79, 116,769.42 and 35,752.34

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Solution

The fourth proportional to 77,907.79, 116,769.42 and 35,752.34 is: 53,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,907.79 : 116,769.42 = 35,752.34 : x
  2. Step 2: Convert to fraction form
    77,907.79/116,769.42 = 35,752.34/x
  3. Step 3: Cross multiply
    77,907.79x = 116,769.42 × 35,752.34
  4. Step 4: Simplify right side
    77,907.79x = 4,174,780,386.75
  5. Step 5: Solve for x
    x = 4,174,780,386.75/77,907.79
  6. Step 6: Final answer
    x = 53,586.17

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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.