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Finding the Fourth Proportional to 34,705.44, 47,898 and 19,804.32

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Solution

The fourth proportional to 34,705.44, 47,898 and 19,804.32 is: 27,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705.44 : 47,898 = 19,804.32 : x
  2. Step 2: Convert to fraction form
    34,705.44/47,898 = 19,804.32/x
  3. Step 3: Cross multiply
    34,705.44x = 47,898 × 19,804.32
  4. Step 4: Simplify right side
    34,705.44x = 948,587,319.36
  5. Step 5: Solve for x
    x = 948,587,319.36/34,705.44
  6. Step 6: Final answer
    x = 27,332.53

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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.