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Finding the Fourth Proportional to 33,707.60, 46,525.74 and 19,565

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Solution

The fourth proportional to 33,707.60, 46,525.74 and 19,565 is: 27,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707.60 : 46,525.74 = 19,565 : x
  2. Step 2: Convert to fraction form
    33,707.60/46,525.74 = 19,565/x
  3. Step 3: Cross multiply
    33,707.60x = 46,525.74 × 19,565
  4. Step 4: Simplify right side
    33,707.60x = 910,276,103.10
  5. Step 5: Solve for x
    x = 910,276,103.10/33,707.60
  6. Step 6: Final answer
    x = 27,005.07

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