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Finding the Fourth Proportional to 56,491.48, 77,950.56 and 33,825.28

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Solution

The fourth proportional to 56,491.48, 77,950.56 and 33,825.28 is: 46,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.48 : 77,950.56 = 33,825.28 : x
  2. Step 2: Convert to fraction form
    56,491.48/77,950.56 = 33,825.28/x
  3. Step 3: Cross multiply
    56,491.48x = 77,950.56 × 33,825.28
  4. Step 4: Simplify right side
    56,491.48x = 2,636,699,518.16
  5. Step 5: Solve for x
    x = 2,636,699,518.16/56,491.48
  6. Step 6: Final answer
    x = 46,674.29

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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.