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Finding the Fourth Proportional to 82,740.59, 114,202.41 and 46,952.16

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Solution

The fourth proportional to 82,740.59, 114,202.41 and 46,952.16 is: 64,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,740.59 : 114,202.41 = 46,952.16 : x
  2. Step 2: Convert to fraction form
    82,740.59/114,202.41 = 46,952.16/x
  3. Step 3: Cross multiply
    82,740.59x = 114,202.41 × 46,952.16
  4. Step 4: Simplify right side
    82,740.59x = 5,362,049,222.38
  5. Step 5: Solve for x
    x = 5,362,049,222.38/82,740.59
  6. Step 6: Final answer
    x = 64,805.55

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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.