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Finding the Fourth Proportional to 65,822.60, 98,756.94 and 19,078.28

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Solution

The fourth proportional to 65,822.60, 98,756.94 and 19,078.28 is: 28,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.60 : 98,756.94 = 19,078.28 : x
  2. Step 2: Convert to fraction form
    65,822.60/98,756.94 = 19,078.28/x
  3. Step 3: Cross multiply
    65,822.60x = 98,756.94 × 19,078.28
  4. Step 4: Simplify right side
    65,822.60x = 1,884,112,553.26
  5. Step 5: Solve for x
    x = 1,884,112,553.26/65,822.60
  6. Step 6: Final answer
    x = 28,624.10

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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.