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Finding the Fourth Proportional to 33,705.19, 46,510 and 32,572.81

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Solution

The fourth proportional to 33,705.19, 46,510 and 32,572.81 is: 44,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,705.19 : 46,510 = 32,572.81 : x
  2. Step 2: Convert to fraction form
    33,705.19/46,510 = 32,572.81/x
  3. Step 3: Cross multiply
    33,705.19x = 46,510 × 32,572.81
  4. Step 4: Simplify right side
    33,705.19x = 1,514,961,393.10
  5. Step 5: Solve for x
    x = 1,514,961,393.10/33,705.19
  6. Step 6: Final answer
    x = 44,947.42

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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.