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Finding the Fourth Proportional to 65,975.92, 98,952.84 and 23,848.02

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Solution

The fourth proportional to 65,975.92, 98,952.84 and 23,848.02 is: 35,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975.92 : 98,952.84 = 23,848.02 : x
  2. Step 2: Convert to fraction form
    65,975.92/98,952.84 = 23,848.02/x
  3. Step 3: Cross multiply
    65,975.92x = 98,952.84 × 23,848.02
  4. Step 4: Simplify right side
    65,975.92x = 2,359,829,307.38
  5. Step 5: Solve for x
    x = 2,359,829,307.38/65,975.92
  6. Step 6: Final answer
    x = 35,768.04

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Why These Related Problems?

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