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Finding the Fourth Proportional to 30,705.54, 42,373.71 and 18,131.10

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Solution

The fourth proportional to 30,705.54, 42,373.71 and 18,131.10 is: 25,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.54 : 42,373.71 = 18,131.10 : x
  2. Step 2: Convert to fraction form
    30,705.54/42,373.71 = 18,131.10/x
  3. Step 3: Cross multiply
    30,705.54x = 42,373.71 × 18,131.10
  4. Step 4: Simplify right side
    30,705.54x = 768,281,973.38
  5. Step 5: Solve for x
    x = 768,281,973.38/30,705.54
  6. Step 6: Final answer
    x = 25,020.96

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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.