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Finding the Fourth Proportional to 92,568.32, 138,830.80 and 26,014.80

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Solution

The fourth proportional to 92,568.32, 138,830.80 and 26,014.80 is: 39,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,568.32 : 138,830.80 = 26,014.80 : x
  2. Step 2: Convert to fraction form
    92,568.32/138,830.80 = 26,014.80/x
  3. Step 3: Cross multiply
    92,568.32x = 138,830.80 × 26,014.80
  4. Step 4: Simplify right side
    92,568.32x = 3,611,655,495.84
  5. Step 5: Solve for x
    x = 3,611,655,495.84/92,568.32
  6. Step 6: Final answer
    x = 39,016.11

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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.