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Finding the Fourth Proportional to 52,657.70, 72,666.33 and 28,784.48

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Solution

The fourth proportional to 52,657.70, 72,666.33 and 28,784.48 is: 39,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.70 : 72,666.33 = 28,784.48 : x
  2. Step 2: Convert to fraction form
    52,657.70/72,666.33 = 28,784.48/x
  3. Step 3: Cross multiply
    52,657.70x = 72,666.33 × 28,784.48
  4. Step 4: Simplify right side
    52,657.70x = 2,091,662,522.56
  5. Step 5: Solve for x
    x = 2,091,662,522.56/52,657.70
  6. Step 6: Final answer
    x = 39,721.87

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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.