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Finding the Fourth Proportional to 52,156.38, 71,975.70 and 28,282.98

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Solution

The fourth proportional to 52,156.38, 71,975.70 and 28,282.98 is: 39,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156.38 : 71,975.70 = 28,282.98 : x
  2. Step 2: Convert to fraction form
    52,156.38/71,975.70 = 28,282.98/x
  3. Step 3: Cross multiply
    52,156.38x = 71,975.70 × 28,282.98
  4. Step 4: Simplify right side
    52,156.38x = 2,035,687,283.59
  5. Step 5: Solve for x
    x = 2,035,687,283.59/52,156.38
  6. Step 6: Final answer
    x = 39,030.46

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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.