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Finding the Fourth Proportional to 38,293.86, 52,830.45 and 28,246.50

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Solution

The fourth proportional to 38,293.86, 52,830.45 and 28,246.50 is: 38,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.86 : 52,830.45 = 28,246.50 : x
  2. Step 2: Convert to fraction form
    38,293.86/52,830.45 = 28,246.50/x
  3. Step 3: Cross multiply
    38,293.86x = 52,830.45 × 28,246.50
  4. Step 4: Simplify right side
    38,293.86x = 1,492,275,305.93
  5. Step 5: Solve for x
    x = 1,492,275,305.93/38,293.86
  6. Step 6: Final answer
    x = 38,969.05

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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.