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Finding the Fourth Proportional to 30,769, 42,461.40 and 18,029.70

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Solution

The fourth proportional to 30,769, 42,461.40 and 18,029.70 is: 24,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769 : 42,461.40 = 18,029.70 : x
  2. Step 2: Convert to fraction form
    30,769/42,461.40 = 18,029.70/x
  3. Step 3: Cross multiply
    30,769x = 42,461.40 × 18,029.70
  4. Step 4: Simplify right side
    30,769x = 765,566,303.58
  5. Step 5: Solve for x
    x = 765,566,303.58/30,769
  6. Step 6: Final answer
    x = 24,881.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.