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Finding the Fourth Proportional to 25,929.30, 38,821.05 and 25,200.30

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Solution

The fourth proportional to 25,929.30, 38,821.05 and 25,200.30 is: 37,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,929.30 : 38,821.05 = 25,200.30 : x
  2. Step 2: Convert to fraction form
    25,929.30/38,821.05 = 25,200.30/x
  3. Step 3: Cross multiply
    25,929.30x = 38,821.05 × 25,200.30
  4. Step 4: Simplify right side
    25,929.30x = 978,302,106.32
  5. Step 5: Solve for x
    x = 978,302,106.32/25,929.30
  6. Step 6: Final answer
    x = 37,729.60

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1.5x scale

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.