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Finding the Fourth Proportional to 45,343.68, 62,574 and 25,200.24

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Solution

The fourth proportional to 45,343.68, 62,574 and 25,200.24 is: 34,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,343.68 : 62,574 = 25,200.24 : x
  2. Step 2: Convert to fraction form
    45,343.68/62,574 = 25,200.24/x
  3. Step 3: Cross multiply
    45,343.68x = 62,574 × 25,200.24
  4. Step 4: Simplify right side
    45,343.68x = 1,576,879,817.76
  5. Step 5: Solve for x
    x = 1,576,879,817.76/45,343.68
  6. Step 6: Final answer
    x = 34,776.18

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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.