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Finding the Fourth Proportional to 25,728.10, 36,097.10 and 25,728.10

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Solution

The fourth proportional to 25,728.10, 36,097.10 and 25,728.10 is: 36,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.10 : 36,097.10 = 25,728.10 : x
  2. Step 2: Convert to fraction form
    25,728.10/36,097.10 = 25,728.10/x
  3. Step 3: Cross multiply
    25,728.10x = 36,097.10 × 25,728.10
  4. Step 4: Simplify right side
    25,728.10x = 928,709,798.51
  5. Step 5: Solve for x
    x = 928,709,798.51/25,728.10
  6. Step 6: Final answer
    x = 36,097.10

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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.