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Finding the Fourth Proportional to 82,513.98, 113,859.84 and 46,210.38

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Solution

The fourth proportional to 82,513.98, 113,859.84 and 46,210.38 is: 63,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.98 : 113,859.84 = 46,210.38 : x
  2. Step 2: Convert to fraction form
    82,513.98/113,859.84 = 46,210.38/x
  3. Step 3: Cross multiply
    82,513.98x = 113,859.84 × 46,210.38
  4. Step 4: Simplify right side
    82,513.98x = 5,261,506,473.14
  5. Step 5: Solve for x
    x = 5,261,506,473.14/82,513.98
  6. Step 6: Final answer
    x = 63,765.03

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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.