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Finding the Fourth Proportional to 50,867.84, 70,197.26 and 28,206.82

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Solution

The fourth proportional to 50,867.84, 70,197.26 and 28,206.82 is: 38,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,867.84 : 70,197.26 = 28,206.82 : x
  2. Step 2: Convert to fraction form
    50,867.84/70,197.26 = 28,206.82/x
  3. Step 3: Cross multiply
    50,867.84x = 70,197.26 × 28,206.82
  4. Step 4: Simplify right side
    50,867.84x = 1,980,041,477.31
  5. Step 5: Solve for x
    x = 1,980,041,477.31/50,867.84
  6. Step 6: Final answer
    x = 38,925.21

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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.