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Finding the Fourth Proportional to 53,885.80, 80,828.70 and 41,429.80

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Solution

The fourth proportional to 53,885.80, 80,828.70 and 41,429.80 is: 62,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,885.80 : 80,828.70 = 41,429.80 : x
  2. Step 2: Convert to fraction form
    53,885.80/80,828.70 = 41,429.80/x
  3. Step 3: Cross multiply
    53,885.80x = 80,828.70 × 41,429.80
  4. Step 4: Simplify right side
    53,885.80x = 3,348,716,875.26
  5. Step 5: Solve for x
    x = 3,348,716,875.26/53,885.80
  6. Step 6: Final answer
    x = 62,144.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.