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Finding the Fourth Proportional to 52,140.70, 71,927.76 and 32,988.34

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Solution

The fourth proportional to 52,140.70, 71,927.76 and 32,988.34 is: 45,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140.70 : 71,927.76 = 32,988.34 : x
  2. Step 2: Convert to fraction form
    52,140.70/71,927.76 = 32,988.34/x
  3. Step 3: Cross multiply
    52,140.70x = 71,927.76 × 32,988.34
  4. Step 4: Simplify right side
    52,140.70x = 2,372,777,402.32
  5. Step 5: Solve for x
    x = 2,372,777,402.32/52,140.70
  6. Step 6: Final answer
    x = 45,507.20

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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.