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Finding the Fourth Proportional to 59,443.16, 81,893.70 and 41,509.76

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Solution

The fourth proportional to 59,443.16, 81,893.70 and 41,509.76 is: 57,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,443.16 : 81,893.70 = 41,509.76 : x
  2. Step 2: Convert to fraction form
    59,443.16/81,893.70 = 41,509.76/x
  3. Step 3: Cross multiply
    59,443.16x = 81,893.70 × 41,509.76
  4. Step 4: Simplify right side
    59,443.16x = 3,399,387,423.04
  5. Step 5: Solve for x
    x = 3,399,387,423.04/59,443.16
  6. Step 6: Final answer
    x = 57,187.20

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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.