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Finding the Fourth Proportional to 75,422.40, 112,874.40 and 52,094.40

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Solution

The fourth proportional to 75,422.40, 112,874.40 and 52,094.40 is: 77,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422.40 : 112,874.40 = 52,094.40 : x
  2. Step 2: Convert to fraction form
    75,422.40/112,874.40 = 52,094.40/x
  3. Step 3: Cross multiply
    75,422.40x = 112,874.40 × 52,094.40
  4. Step 4: Simplify right side
    75,422.40x = 5,880,124,143.36
  5. Step 5: Solve for x
    x = 5,880,124,143.36/75,422.40
  6. Step 6: Final answer
    x = 77,962.57

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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.