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Finding the Fourth Proportional to 50,774.81, 70,071.42 and 28,113.80

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Solution

The fourth proportional to 50,774.81, 70,071.42 and 28,113.80 is: 38,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,774.81 : 70,071.42 = 28,113.80 : x
  2. Step 2: Convert to fraction form
    50,774.81/70,071.42 = 28,113.80/x
  3. Step 3: Cross multiply
    50,774.81x = 70,071.42 × 28,113.80
  4. Step 4: Simplify right side
    50,774.81x = 1,969,973,537.24
  5. Step 5: Solve for x
    x = 1,969,973,537.24/50,774.81
  6. Step 6: Final answer
    x = 38,798.25

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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.