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Finding the Fourth Proportional to 65,097.12, 97,646.24 and 23,544

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Solution

The fourth proportional to 65,097.12, 97,646.24 and 23,544 is: 35,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.12 : 97,646.24 = 23,544 : x
  2. Step 2: Convert to fraction form
    65,097.12/97,646.24 = 23,544/x
  3. Step 3: Cross multiply
    65,097.12x = 97,646.24 × 23,544
  4. Step 4: Simplify right side
    65,097.12x = 2,298,983,074.56
  5. Step 5: Solve for x
    x = 2,298,983,074.56/65,097.12
  6. Step 6: Final answer
    x = 35,316.20

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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.