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Finding the Fourth Proportional to 59,461.92, 82,014.48 and 50,495.28

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Solution

The fourth proportional to 59,461.92, 82,014.48 and 50,495.28 is: 69,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,461.92 : 82,014.48 = 50,495.28 : x
  2. Step 2: Convert to fraction form
    59,461.92/82,014.48 = 50,495.28/x
  3. Step 3: Cross multiply
    59,461.92x = 82,014.48 × 50,495.28
  4. Step 4: Simplify right side
    59,461.92x = 4,141,344,131.65
  5. Step 5: Solve for x
    x = 4,141,344,131.65/59,461.92
  6. Step 6: Final answer
    x = 69,647.00

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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.