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Finding the Fourth Proportional to 50,726.64, 76,103.16 and 19,551.60

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Solution

The fourth proportional to 50,726.64, 76,103.16 and 19,551.60 is: 29,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,726.64 : 76,103.16 = 19,551.60 : x
  2. Step 2: Convert to fraction form
    50,726.64/76,103.16 = 19,551.60/x
  3. Step 3: Cross multiply
    50,726.64x = 76,103.16 × 19,551.60
  4. Step 4: Simplify right side
    50,726.64x = 1,487,938,543.06
  5. Step 5: Solve for x
    x = 1,487,938,543.06/50,726.64
  6. Step 6: Final answer
    x = 29,332.49

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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.