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Finding the Fourth Proportional to 92,094.84, 138,186 and 47,713.32

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Solution

The fourth proportional to 92,094.84, 138,186 and 47,713.32 is: 71,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094.84 : 138,186 = 47,713.32 : x
  2. Step 2: Convert to fraction form
    92,094.84/138,186 = 47,713.32/x
  3. Step 3: Cross multiply
    92,094.84x = 138,186 × 47,713.32
  4. Step 4: Simplify right side
    92,094.84x = 6,593,312,837.52
  5. Step 5: Solve for x
    x = 6,593,312,837.52/92,094.84
  6. Step 6: Final answer
    x = 71,592.64

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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.