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Finding the Fourth Proportional to 82,769.52, 114,214.04 and 46,462.65

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Solution

The fourth proportional to 82,769.52, 114,214.04 and 46,462.65 is: 64,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,769.52 : 114,214.04 = 46,462.65 : x
  2. Step 2: Convert to fraction form
    82,769.52/114,214.04 = 46,462.65/x
  3. Step 3: Cross multiply
    82,769.52x = 114,214.04 × 46,462.65
  4. Step 4: Simplify right side
    82,769.52x = 5,306,686,479.23
  5. Step 5: Solve for x
    x = 5,306,686,479.23/82,769.52
  6. Step 6: Final answer
    x = 64,114.01

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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.