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Finding the Fourth Proportional to 82,952.74, 114,461.47 and 46,654.08

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Solution

The fourth proportional to 82,952.74, 114,461.47 and 46,654.08 is: 64,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.74 : 114,461.47 = 46,654.08 : x
  2. Step 2: Convert to fraction form
    82,952.74/114,461.47 = 46,654.08/x
  3. Step 3: Cross multiply
    82,952.74x = 114,461.47 × 46,654.08
  4. Step 4: Simplify right side
    82,952.74x = 5,340,094,578.30
  5. Step 5: Solve for x
    x = 5,340,094,578.30/82,952.74
  6. Step 6: Final answer
    x = 64,375.14

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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.