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Finding the Fourth Proportional to 97,447.54, 146,158.32 and 30,894.40

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Solution

The fourth proportional to 97,447.54, 146,158.32 and 30,894.40 is: 46,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,447.54 : 146,158.32 = 30,894.40 : x
  2. Step 2: Convert to fraction form
    97,447.54/146,158.32 = 30,894.40/x
  3. Step 3: Cross multiply
    97,447.54x = 146,158.32 × 30,894.40
  4. Step 4: Simplify right side
    97,447.54x = 4,515,473,601.41
  5. Step 5: Solve for x
    x = 4,515,473,601.41/97,447.54
  6. Step 6: Final answer
    x = 46,337.48

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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.