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Finding the Fourth Proportional to 30,823.70, 42,497.10 and 25,152.68

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Solution

The fourth proportional to 30,823.70, 42,497.10 and 25,152.68 is: 34,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.70 : 42,497.10 = 25,152.68 : x
  2. Step 2: Convert to fraction form
    30,823.70/42,497.10 = 25,152.68/x
  3. Step 3: Cross multiply
    30,823.70x = 42,497.10 × 25,152.68
  4. Step 4: Simplify right side
    30,823.70x = 1,068,915,957.23
  5. Step 5: Solve for x
    x = 1,068,915,957.23/30,823.70
  6. Step 6: Final answer
    x = 34,678.38

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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.