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Finding the Fourth Proportional to 65,825.52, 98,743.14 and 19,082.04

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Solution

The fourth proportional to 65,825.52, 98,743.14 and 19,082.04 is: 28,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.52 : 98,743.14 = 19,082.04 : x
  2. Step 2: Convert to fraction form
    65,825.52/98,743.14 = 19,082.04/x
  3. Step 3: Cross multiply
    65,825.52x = 98,743.14 × 19,082.04
  4. Step 4: Simplify right side
    65,825.52x = 1,884,220,547.21
  5. Step 5: Solve for x
    x = 1,884,220,547.21/65,825.52
  6. Step 6: Final answer
    x = 28,624.47

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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.