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Finding the Fourth Proportional to 33,712.64, 46,503.40 and 21,783.01

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Solution

The fourth proportional to 33,712.64, 46,503.40 and 21,783.01 is: 30,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.64 : 46,503.40 = 21,783.01 : x
  2. Step 2: Convert to fraction form
    33,712.64/46,503.40 = 21,783.01/x
  3. Step 3: Cross multiply
    33,712.64x = 46,503.40 × 21,783.01
  4. Step 4: Simplify right side
    33,712.64x = 1,012,984,027.23
  5. Step 5: Solve for x
    x = 1,012,984,027.23/33,712.64
  6. Step 6: Final answer
    x = 30,047.60

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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.