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Finding the Fourth Proportional to 56,493.84, 84,742.98 and 17,050.95

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Solution

The fourth proportional to 56,493.84, 84,742.98 and 17,050.95 is: 25,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.84 : 84,742.98 = 17,050.95 : x
  2. Step 2: Convert to fraction form
    56,493.84/84,742.98 = 17,050.95/x
  3. Step 3: Cross multiply
    56,493.84x = 84,742.98 × 17,050.95
  4. Step 4: Simplify right side
    56,493.84x = 1,444,948,314.83
  5. Step 5: Solve for x
    x = 1,444,948,314.83/56,493.84
  6. Step 6: Final answer
    x = 25,577.10

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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.