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Finding the Fourth Proportional to 53,410.65, 73,725.23 and 30,758.66

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Solution

The fourth proportional to 53,410.65, 73,725.23 and 30,758.66 is: 42,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410.65 : 73,725.23 = 30,758.66 : x
  2. Step 2: Convert to fraction form
    53,410.65/73,725.23 = 30,758.66/x
  3. Step 3: Cross multiply
    53,410.65x = 73,725.23 × 30,758.66
  4. Step 4: Simplify right side
    53,410.65x = 2,267,689,282.99
  5. Step 5: Solve for x
    x = 2,267,689,282.99/53,410.65
  6. Step 6: Final answer
    x = 42,457.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.