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Finding the Fourth Proportional to 45,857.60, 68,746.40 and 17,796.80

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Solution

The fourth proportional to 45,857.60, 68,746.40 and 17,796.80 is: 26,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,857.60 : 68,746.40 = 17,796.80 : x
  2. Step 2: Convert to fraction form
    45,857.60/68,746.40 = 17,796.80/x
  3. Step 3: Cross multiply
    45,857.60x = 68,746.40 × 17,796.80
  4. Step 4: Simplify right side
    45,857.60x = 1,223,465,931.52
  5. Step 5: Solve for x
    x = 1,223,465,931.52/45,857.60
  6. Step 6: Final answer
    x = 26,679.68

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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.