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Finding the Fourth Proportional to 56,858.68, 85,263.90 and 17,407

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Solution

The fourth proportional to 56,858.68, 85,263.90 and 17,407 is: 26,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,858.68 : 85,263.90 = 17,407 : x
  2. Step 2: Convert to fraction form
    56,858.68/85,263.90 = 17,407/x
  3. Step 3: Cross multiply
    56,858.68x = 85,263.90 × 17,407
  4. Step 4: Simplify right side
    56,858.68x = 1,484,188,707.30
  5. Step 5: Solve for x
    x = 1,484,188,707.30/56,858.68
  6. Step 6: Final answer
    x = 26,103.12

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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.