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Finding the Fourth Proportional to 30,234.40, 42,371.90 and 30,234.40

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Solution

The fourth proportional to 30,234.40, 42,371.90 and 30,234.40 is: 42,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.40 : 42,371.90 = 30,234.40 : x
  2. Step 2: Convert to fraction form
    30,234.40/42,371.90 = 30,234.40/x
  3. Step 3: Cross multiply
    30,234.40x = 42,371.90 × 30,234.40
  4. Step 4: Simplify right side
    30,234.40x = 1,281,088,973.36
  5. Step 5: Solve for x
    x = 1,281,088,973.36/30,234.40
  6. Step 6: Final answer
    x = 42,371.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.