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Finding the Fourth Proportional to 105,176.76, 157,784.34 and 35,049.40

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Solution

The fourth proportional to 105,176.76, 157,784.34 and 35,049.40 is: 52,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,176.76 : 157,784.34 = 35,049.40 : x
  2. Step 2: Convert to fraction form
    105,176.76/157,784.34 = 35,049.40/x
  3. Step 3: Cross multiply
    105,176.76x = 157,784.34 × 35,049.40
  4. Step 4: Simplify right side
    105,176.76x = 5,530,246,446.40
  5. Step 5: Solve for x
    x = 5,530,246,446.40/105,176.76
  6. Step 6: Final answer
    x = 52,580.50

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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.