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Finding the Fourth Proportional to 50,827.42, 70,142.01 and 28,166.79

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Solution

The fourth proportional to 50,827.42, 70,142.01 and 28,166.79 is: 38,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,827.42 : 70,142.01 = 28,166.79 : x
  2. Step 2: Convert to fraction form
    50,827.42/70,142.01 = 28,166.79/x
  3. Step 3: Cross multiply
    50,827.42x = 70,142.01 × 28,166.79
  4. Step 4: Simplify right side
    50,827.42x = 1,975,674,897.19
  5. Step 5: Solve for x
    x = 1,975,674,897.19/50,827.42
  6. Step 6: Final answer
    x = 38,870.26

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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.