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Finding the Fourth Proportional to 34,066.19, 47,016.98 and 19,916.30

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Solution

The fourth proportional to 34,066.19, 47,016.98 and 19,916.30 is: 27,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066.19 : 47,016.98 = 19,916.30 : x
  2. Step 2: Convert to fraction form
    34,066.19/47,016.98 = 19,916.30/x
  3. Step 3: Cross multiply
    34,066.19x = 47,016.98 × 19,916.30
  4. Step 4: Simplify right side
    34,066.19x = 936,403,944.11
  5. Step 5: Solve for x
    x = 936,403,944.11/34,066.19
  6. Step 6: Final answer
    x = 27,487.78

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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.