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Finding the Fourth Proportional to 52,111.28, 71,913.12 and 28,237.28

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Solution

The fourth proportional to 52,111.28, 71,913.12 and 28,237.28 is: 38,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.28 : 71,913.12 = 28,237.28 : x
  2. Step 2: Convert to fraction form
    52,111.28/71,913.12 = 28,237.28/x
  3. Step 3: Cross multiply
    52,111.28x = 71,913.12 × 28,237.28
  4. Step 4: Simplify right side
    52,111.28x = 2,030,630,905.11
  5. Step 5: Solve for x
    x = 2,030,630,905.11/52,111.28
  6. Step 6: Final answer
    x = 38,967.20

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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.