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Finding the Fourth Proportional to 55,946.40, 83,842.80 and 45,578.40

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Solution

The fourth proportional to 55,946.40, 83,842.80 and 45,578.40 is: 68,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,946.40 : 83,842.80 = 45,578.40 : x
  2. Step 2: Convert to fraction form
    55,946.40/83,842.80 = 45,578.40/x
  3. Step 3: Cross multiply
    55,946.40x = 83,842.80 × 45,578.40
  4. Step 4: Simplify right side
    55,946.40x = 3,821,420,675.52
  5. Step 5: Solve for x
    x = 3,821,420,675.52/55,946.40
  6. Step 6: Final answer
    x = 68,305.03

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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.