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Finding the Fourth Proportional to 107,285.95, 160,943.96 and 32,397.60

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Solution

The fourth proportional to 107,285.95, 160,943.96 and 32,397.60 is: 48,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285.95 : 160,943.96 = 32,397.60 : x
  2. Step 2: Convert to fraction form
    107,285.95/160,943.96 = 32,397.60/x
  3. Step 3: Cross multiply
    107,285.95x = 160,943.96 × 32,397.60
  4. Step 4: Simplify right side
    107,285.95x = 5,214,197,876.51
  5. Step 5: Solve for x
    x = 5,214,197,876.51/107,285.95
  6. Step 6: Final answer
    x = 48,600.94

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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.