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Finding the Fourth Proportional to 130,513.90, 195,770.76 and 32,017.90

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Solution

The fourth proportional to 130,513.90, 195,770.76 and 32,017.90 is: 48,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,513.90 : 195,770.76 = 32,017.90 : x
  2. Step 2: Convert to fraction form
    130,513.90/195,770.76 = 32,017.90/x
  3. Step 3: Cross multiply
    130,513.90x = 195,770.76 × 32,017.90
  4. Step 4: Simplify right side
    130,513.90x = 6,268,168,616.60
  5. Step 5: Solve for x
    x = 6,268,168,616.60/130,513.90
  6. Step 6: Final answer
    x = 48,026.83

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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.