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Finding the Fourth Proportional to 65,533, 98,274.51 and 23,405.23

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Solution

The fourth proportional to 65,533, 98,274.51 and 23,405.23 is: 35,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,533 : 98,274.51 = 23,405.23 : x
  2. Step 2: Convert to fraction form
    65,533/98,274.51 = 23,405.23/x
  3. Step 3: Cross multiply
    65,533x = 98,274.51 × 23,405.23
  4. Step 4: Simplify right side
    65,533x = 2,300,137,509.69
  5. Step 5: Solve for x
    x = 2,300,137,509.69/65,533
  6. Step 6: Final answer
    x = 35,098.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.