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Finding the Fourth Proportional to 82,389.38, 113,692.90 and 46,577.26

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Solution

The fourth proportional to 82,389.38, 113,692.90 and 46,577.26 is: 64,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,389.38 : 113,692.90 = 46,577.26 : x
  2. Step 2: Convert to fraction form
    82,389.38/113,692.90 = 46,577.26/x
  3. Step 3: Cross multiply
    82,389.38x = 113,692.90 × 46,577.26
  4. Step 4: Simplify right side
    82,389.38x = 5,295,502,962.10
  5. Step 5: Solve for x
    x = 5,295,502,962.10/82,389.38
  6. Step 6: Final answer
    x = 64,274.10

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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.