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Finding the Fourth Proportional to 50,830.38, 70,208.51 and 38,140.52

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Solution

The fourth proportional to 50,830.38, 70,208.51 and 38,140.52 is: 52,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830.38 : 70,208.51 = 38,140.52 : x
  2. Step 2: Convert to fraction form
    50,830.38/70,208.51 = 38,140.52/x
  3. Step 3: Cross multiply
    50,830.38x = 70,208.51 × 38,140.52
  4. Step 4: Simplify right side
    50,830.38x = 2,677,788,538.08
  5. Step 5: Solve for x
    x = 2,677,788,538.08/50,830.38
  6. Step 6: Final answer
    x = 52,680.87

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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.