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Finding the Fourth Proportional to 77,907.59, 116,769.11 and 35,752.14

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Solution

The fourth proportional to 77,907.59, 116,769.11 and 35,752.14 is: 53,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,907.59 : 116,769.11 = 35,752.14 : x
  2. Step 2: Convert to fraction form
    77,907.59/116,769.11 = 35,752.14/x
  3. Step 3: Cross multiply
    77,907.59x = 116,769.11 × 35,752.14
  4. Step 4: Simplify right side
    77,907.59x = 4,174,745,389.63
  5. Step 5: Solve for x
    x = 4,174,745,389.63/77,907.59
  6. Step 6: Final answer
    x = 53,585.86

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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.