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Finding the Fourth Proportional to 42,194.80, 63,295.80 and 11,030

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Solution

The fourth proportional to 42,194.80, 63,295.80 and 11,030 is: 16,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,194.80 : 63,295.80 = 11,030 : x
  2. Step 2: Convert to fraction form
    42,194.80/63,295.80 = 11,030/x
  3. Step 3: Cross multiply
    42,194.80x = 63,295.80 × 11,030
  4. Step 4: Simplify right side
    42,194.80x = 698,152,674
  5. Step 5: Solve for x
    x = 698,152,674/42,194.80
  6. Step 6: Final answer
    x = 16,545.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.