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Finding the Fourth Proportional to 45,574, 62,892.12 and 25,702

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Solution

The fourth proportional to 45,574, 62,892.12 and 25,702 is: 35,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,574 : 62,892.12 = 25,702 : x
  2. Step 2: Convert to fraction form
    45,574/62,892.12 = 25,702/x
  3. Step 3: Cross multiply
    45,574x = 62,892.12 × 25,702
  4. Step 4: Simplify right side
    45,574x = 1,616,453,268.24
  5. Step 5: Solve for x
    x = 1,616,453,268.24/45,574
  6. Step 6: Final answer
    x = 35,468.76

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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.