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Finding the Fourth Proportional to 77,699.96, 116,769.33 and 46,115.93

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Solution

The fourth proportional to 77,699.96, 116,769.33 and 46,115.93 is: 69,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,699.96 : 116,769.33 = 46,115.93 : x
  2. Step 2: Convert to fraction form
    77,699.96/116,769.33 = 46,115.93/x
  3. Step 3: Cross multiply
    77,699.96x = 116,769.33 × 46,115.93
  4. Step 4: Simplify right side
    77,699.96x = 5,384,925,883.52
  5. Step 5: Solve for x
    x = 5,384,925,883.52/77,699.96
  6. Step 6: Final answer
    x = 69,304.10

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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.