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Finding the Fourth Proportional to 61,154.28, 84,416.94 and 41,003.82

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Solution

The fourth proportional to 61,154.28, 84,416.94 and 41,003.82 is: 56,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,154.28 : 84,416.94 = 41,003.82 : x
  2. Step 2: Convert to fraction form
    61,154.28/84,416.94 = 41,003.82/x
  3. Step 3: Cross multiply
    61,154.28x = 84,416.94 × 41,003.82
  4. Step 4: Simplify right side
    61,154.28x = 3,461,417,012.71
  5. Step 5: Solve for x
    x = 3,461,417,012.71/61,154.28
  6. Step 6: Final answer
    x = 56,601.39

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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.