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Finding the Fourth Proportional to 46,677.38, 64,420.32 and 26,537.30

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Solution

The fourth proportional to 46,677.38, 64,420.32 and 26,537.30 is: 36,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.38 : 64,420.32 = 26,537.30 : x
  2. Step 2: Convert to fraction form
    46,677.38/64,420.32 = 26,537.30/x
  3. Step 3: Cross multiply
    46,677.38x = 64,420.32 × 26,537.30
  4. Step 4: Simplify right side
    46,677.38x = 1,709,541,357.94
  5. Step 5: Solve for x
    x = 1,709,541,357.94/46,677.38
  6. Step 6: Final answer
    x = 36,624.62

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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.