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Finding the Fourth Proportional to 56,311.90, 77,698.02 and 33,647.50

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Solution

The fourth proportional to 56,311.90, 77,698.02 and 33,647.50 is: 46,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.90 : 77,698.02 = 33,647.50 : x
  2. Step 2: Convert to fraction form
    56,311.90/77,698.02 = 33,647.50/x
  3. Step 3: Cross multiply
    56,311.90x = 77,698.02 × 33,647.50
  4. Step 4: Simplify right side
    56,311.90x = 2,614,344,127.95
  5. Step 5: Solve for x
    x = 2,614,344,127.95/56,311.90
  6. Step 6: Final answer
    x = 46,426.14

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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.