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Finding the Fourth Proportional to 38,417.50, 53,016.16 and 20,753.50

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Solution

The fourth proportional to 38,417.50, 53,016.16 and 20,753.50 is: 28,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.50 : 53,016.16 = 20,753.50 : x
  2. Step 2: Convert to fraction form
    38,417.50/53,016.16 = 20,753.50/x
  3. Step 3: Cross multiply
    38,417.50x = 53,016.16 × 20,753.50
  4. Step 4: Simplify right side
    38,417.50x = 1,100,270,876.56
  5. Step 5: Solve for x
    x = 1,100,270,876.56/38,417.50
  6. Step 6: Final answer
    x = 28,639.84

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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.