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Finding the Fourth Proportional to 38,508.50, 57,762.76 and 13,884.50

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Solution

The fourth proportional to 38,508.50, 57,762.76 and 13,884.50 is: 20,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.50 : 57,762.76 = 13,884.50 : x
  2. Step 2: Convert to fraction form
    38,508.50/57,762.76 = 13,884.50/x
  3. Step 3: Cross multiply
    38,508.50x = 57,762.76 × 13,884.50
  4. Step 4: Simplify right side
    38,508.50x = 802,007,041.22
  5. Step 5: Solve for x
    x = 802,007,041.22/38,508.50
  6. Step 6: Final answer
    x = 20,826.75

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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.