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Finding the Fourth Proportional to 56,698.60, 85,047.90 and 14,578.60

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Solution

The fourth proportional to 56,698.60, 85,047.90 and 14,578.60 is: 21,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,698.60 : 85,047.90 = 14,578.60 : x
  2. Step 2: Convert to fraction form
    56,698.60/85,047.90 = 14,578.60/x
  3. Step 3: Cross multiply
    56,698.60x = 85,047.90 × 14,578.60
  4. Step 4: Simplify right side
    56,698.60x = 1,239,879,314.94
  5. Step 5: Solve for x
    x = 1,239,879,314.94/56,698.60
  6. Step 6: Final answer
    x = 21,867.90

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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.