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Finding the Fourth Proportional to 52,405.76, 72,320.32 and 28,532.48

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Solution

The fourth proportional to 52,405.76, 72,320.32 and 28,532.48 is: 39,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,405.76 : 72,320.32 = 28,532.48 : x
  2. Step 2: Convert to fraction form
    52,405.76/72,320.32 = 28,532.48/x
  3. Step 3: Cross multiply
    52,405.76x = 72,320.32 × 28,532.48
  4. Step 4: Simplify right side
    52,405.76x = 2,063,478,083.99
  5. Step 5: Solve for x
    x = 2,063,478,083.99/52,405.76
  6. Step 6: Final answer
    x = 39,375.02

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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.