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Finding the Fourth Proportional to 28,544.64, 42,825 and 25,001.64

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Solution

The fourth proportional to 28,544.64, 42,825 and 25,001.64 is: 37,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,544.64 : 42,825 = 25,001.64 : x
  2. Step 2: Convert to fraction form
    28,544.64/42,825 = 25,001.64/x
  3. Step 3: Cross multiply
    28,544.64x = 42,825 × 25,001.64
  4. Step 4: Simplify right side
    28,544.64x = 1,070,695,233
  5. Step 5: Solve for x
    x = 1,070,695,233/28,544.64
  6. Step 6: Final answer
    x = 37,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.