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Finding the Fourth Proportional to 30,623.60, 42,265.13 and 18,693.81

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Solution

The fourth proportional to 30,623.60, 42,265.13 and 18,693.81 is: 25,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.60 : 42,265.13 = 18,693.81 : x
  2. Step 2: Convert to fraction form
    30,623.60/42,265.13 = 18,693.81/x
  3. Step 3: Cross multiply
    30,623.60x = 42,265.13 × 18,693.81
  4. Step 4: Simplify right side
    30,623.60x = 790,096,216.38
  5. Step 5: Solve for x
    x = 790,096,216.38/30,623.60
  6. Step 6: Final answer
    x = 25,800.24

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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.