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Finding the Fourth Proportional to 34,741.50, 47,946.51 and 19,837.50

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Solution

The fourth proportional to 34,741.50, 47,946.51 and 19,837.50 is: 27,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.50 : 47,946.51 = 19,837.50 : x
  2. Step 2: Convert to fraction form
    34,741.50/47,946.51 = 19,837.50/x
  3. Step 3: Cross multiply
    34,741.50x = 47,946.51 × 19,837.50
  4. Step 4: Simplify right side
    34,741.50x = 951,138,892.13
  5. Step 5: Solve for x
    x = 951,138,892.13/34,741.50
  6. Step 6: Final answer
    x = 27,377.60

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1.5x scale

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.