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Finding the Fourth Proportional to 77,015.84, 115,523.76 and 32,641.60

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Solution

The fourth proportional to 77,015.84, 115,523.76 and 32,641.60 is: 48,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015.84 : 115,523.76 = 32,641.60 : x
  2. Step 2: Convert to fraction form
    77,015.84/115,523.76 = 32,641.60/x
  3. Step 3: Cross multiply
    77,015.84x = 115,523.76 × 32,641.60
  4. Step 4: Simplify right side
    77,015.84x = 3,770,880,364.42
  5. Step 5: Solve for x
    x = 3,770,880,364.42/77,015.84
  6. Step 6: Final answer
    x = 48,962.40

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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.