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Finding the Fourth Proportional to 97,319.84, 145,979.76 and 23,447.84

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Solution

The fourth proportional to 97,319.84, 145,979.76 and 23,447.84 is: 35,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,319.84 : 145,979.76 = 23,447.84 : x
  2. Step 2: Convert to fraction form
    97,319.84/145,979.76 = 23,447.84/x
  3. Step 3: Cross multiply
    97,319.84x = 145,979.76 × 23,447.84
  4. Step 4: Simplify right side
    97,319.84x = 3,422,910,055.72
  5. Step 5: Solve for x
    x = 3,422,910,055.72/97,319.84
  6. Step 6: Final answer
    x = 35,171.76

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1.5x scale

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.