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Finding the Fourth Proportional to 55,578.94, 83,368.10 and 22,275.18

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Solution

The fourth proportional to 55,578.94, 83,368.10 and 22,275.18 is: 33,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,578.94 : 83,368.10 = 22,275.18 : x
  2. Step 2: Convert to fraction form
    55,578.94/83,368.10 = 22,275.18/x
  3. Step 3: Cross multiply
    55,578.94x = 83,368.10 × 22,275.18
  4. Step 4: Simplify right side
    55,578.94x = 1,857,039,433.76
  5. Step 5: Solve for x
    x = 1,857,039,433.76/55,578.94
  6. Step 6: Final answer
    x = 33,412.65

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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.