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Finding the Fourth Proportional to 97,742.60, 146,594.70 and 32,078.60

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Solution

The fourth proportional to 97,742.60, 146,594.70 and 32,078.60 is: 48,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,742.60 : 146,594.70 = 32,078.60 : x
  2. Step 2: Convert to fraction form
    97,742.60/146,594.70 = 32,078.60/x
  3. Step 3: Cross multiply
    97,742.60x = 146,594.70 × 32,078.60
  4. Step 4: Simplify right side
    97,742.60x = 4,702,552,743.42
  5. Step 5: Solve for x
    x = 4,702,552,743.42/97,742.60
  6. Step 6: Final answer
    x = 48,111.60

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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.