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Finding the Fourth Proportional to 25,707.50, 35,476.35 and 14,529.50

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Solution

The fourth proportional to 25,707.50, 35,476.35 and 14,529.50 is: 20,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.50 : 35,476.35 = 14,529.50 : x
  2. Step 2: Convert to fraction form
    25,707.50/35,476.35 = 14,529.50/x
  3. Step 3: Cross multiply
    25,707.50x = 35,476.35 × 14,529.50
  4. Step 4: Simplify right side
    25,707.50x = 515,453,627.33
  5. Step 5: Solve for x
    x = 515,453,627.33/25,707.50
  6. Step 6: Final answer
    x = 20,050.71

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1.5x scale

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.