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Finding the Fourth Proportional to 34,242.84, 47,254.05 and 20,095.38

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Solution

The fourth proportional to 34,242.84, 47,254.05 and 20,095.38 is: 27,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242.84 : 47,254.05 = 20,095.38 : x
  2. Step 2: Convert to fraction form
    34,242.84/47,254.05 = 20,095.38/x
  3. Step 3: Cross multiply
    34,242.84x = 47,254.05 × 20,095.38
  4. Step 4: Simplify right side
    34,242.84x = 949,588,091.29
  5. Step 5: Solve for x
    x = 949,588,091.29/34,242.84
  6. Step 6: Final answer
    x = 27,731.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.