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Finding the Fourth Proportional to 56,492.78, 84,739.74 and 17,050.22

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Solution

The fourth proportional to 56,492.78, 84,739.74 and 17,050.22 is: 25,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,492.78 : 84,739.74 = 17,050.22 : x
  2. Step 2: Convert to fraction form
    56,492.78/84,739.74 = 17,050.22/x
  3. Step 3: Cross multiply
    56,492.78x = 84,739.74 × 17,050.22
  4. Step 4: Simplify right side
    56,492.78x = 1,444,831,209.74
  5. Step 5: Solve for x
    x = 1,444,831,209.74/56,492.78
  6. Step 6: Final answer
    x = 25,575.50

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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.