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Finding the Fourth Proportional to 29,678.32, 40,955.88 and 17,102.80

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Solution

The fourth proportional to 29,678.32, 40,955.88 and 17,102.80 is: 23,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.32 : 40,955.88 = 17,102.80 : x
  2. Step 2: Convert to fraction form
    29,678.32/40,955.88 = 17,102.80/x
  3. Step 3: Cross multiply
    29,678.32x = 40,955.88 × 17,102.80
  4. Step 4: Simplify right side
    29,678.32x = 700,460,224.46
  5. Step 5: Solve for x
    x = 700,460,224.46/29,678.32
  6. Step 6: Final answer
    x = 23,601.75

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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.