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Finding the Fourth Proportional to 55,854.84, 83,795.62 and 16,411.08

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Solution

The fourth proportional to 55,854.84, 83,795.62 and 16,411.08 is: 24,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.84 : 83,795.62 = 16,411.08 : x
  2. Step 2: Convert to fraction form
    55,854.84/83,795.62 = 16,411.08/x
  3. Step 3: Cross multiply
    55,854.84x = 83,795.62 × 16,411.08
  4. Step 4: Simplify right side
    55,854.84x = 1,375,176,623.47
  5. Step 5: Solve for x
    x = 1,375,176,623.47/55,854.84
  6. Step 6: Final answer
    x = 24,620.55

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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.