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Finding the Fourth Proportional to 52,014.81, 71,780.25 and 28,141.50

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Solution

The fourth proportional to 52,014.81, 71,780.25 and 28,141.50 is: 38,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.81 : 71,780.25 = 28,141.50 : x
  2. Step 2: Convert to fraction form
    52,014.81/71,780.25 = 28,141.50/x
  3. Step 3: Cross multiply
    52,014.81x = 71,780.25 × 28,141.50
  4. Step 4: Simplify right side
    52,014.81x = 2,020,003,905.38
  5. Step 5: Solve for x
    x = 2,020,003,905.38/52,014.81
  6. Step 6: Final answer
    x = 38,835.17

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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.