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Finding the Fourth Proportional to 25,412.40, 35,629.20 and 25,412.40

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Solution

The fourth proportional to 25,412.40, 35,629.20 and 25,412.40 is: 35,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.40 : 35,629.20 = 25,412.40 : x
  2. Step 2: Convert to fraction form
    25,412.40/35,629.20 = 25,412.40/x
  3. Step 3: Cross multiply
    25,412.40x = 35,629.20 × 25,412.40
  4. Step 4: Simplify right side
    25,412.40x = 905,423,482.08
  5. Step 5: Solve for x
    x = 905,423,482.08/25,412.40
  6. Step 6: Final answer
    x = 35,629.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.