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Finding the Fourth Proportional to 46,920.38, 64,754.77 and 26,780.30

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Solution

The fourth proportional to 46,920.38, 64,754.77 and 26,780.30 is: 36,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920.38 : 64,754.77 = 26,780.30 : x
  2. Step 2: Convert to fraction form
    46,920.38/64,754.77 = 26,780.30/x
  3. Step 3: Cross multiply
    46,920.38x = 64,754.77 × 26,780.30
  4. Step 4: Simplify right side
    46,920.38x = 1,734,151,776.31
  5. Step 5: Solve for x
    x = 1,734,151,776.31/46,920.38
  6. Step 6: Final answer
    x = 36,959.46

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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.