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Finding the Fourth Proportional to 97,732.60, 146,598.90 and 31,177.60

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Solution

The fourth proportional to 97,732.60, 146,598.90 and 31,177.60 is: 46,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,732.60 : 146,598.90 = 31,177.60 : x
  2. Step 2: Convert to fraction form
    97,732.60/146,598.90 = 31,177.60/x
  3. Step 3: Cross multiply
    97,732.60x = 146,598.90 × 31,177.60
  4. Step 4: Simplify right side
    97,732.60x = 4,570,601,864.64
  5. Step 5: Solve for x
    x = 4,570,601,864.64/97,732.60
  6. Step 6: Final answer
    x = 46,766.40

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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.