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Finding the Fourth Proportional to 65,364.60, 97,998.30 and 35,815.80

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Solution

The fourth proportional to 65,364.60, 97,998.30 and 35,815.80 is: 53,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,364.60 : 97,998.30 = 35,815.80 : x
  2. Step 2: Convert to fraction form
    65,364.60/97,998.30 = 35,815.80/x
  3. Step 3: Cross multiply
    65,364.60x = 97,998.30 × 35,815.80
  4. Step 4: Simplify right side
    65,364.60x = 3,509,887,513.14
  5. Step 5: Solve for x
    x = 3,509,887,513.14/65,364.60
  6. Step 6: Final answer
    x = 53,697.07

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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.