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Finding the Fourth Proportional to 27,969.40, 42,002.70 and 19,707.40

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Solution

The fourth proportional to 27,969.40, 42,002.70 and 19,707.40 is: 29,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.40 : 42,002.70 = 19,707.40 : x
  2. Step 2: Convert to fraction form
    27,969.40/42,002.70 = 19,707.40/x
  3. Step 3: Cross multiply
    27,969.40x = 42,002.70 × 19,707.40
  4. Step 4: Simplify right side
    27,969.40x = 827,764,009.98
  5. Step 5: Solve for x
    x = 827,764,009.98/27,969.40
  6. Step 6: Final answer
    x = 29,595.34

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1.5x scale

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.