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Finding the Fourth Proportional to 53,677.71, 80,124.12 and 49,774.59

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Solution

The fourth proportional to 53,677.71, 80,124.12 and 49,774.59 is: 74,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,677.71 : 80,124.12 = 49,774.59 : x
  2. Step 2: Convert to fraction form
    53,677.71/80,124.12 = 49,774.59/x
  3. Step 3: Cross multiply
    53,677.71x = 80,124.12 × 49,774.59
  4. Step 4: Simplify right side
    53,677.71x = 3,988,145,222.11
  5. Step 5: Solve for x
    x = 3,988,145,222.11/53,677.71
  6. Step 6: Final answer
    x = 74,297.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.