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Finding the Fourth Proportional to 51,191.60, 76,784.76 and 19,616.78

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Solution

The fourth proportional to 51,191.60, 76,784.76 and 19,616.78 is: 29,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,191.60 : 76,784.76 = 19,616.78 : x
  2. Step 2: Convert to fraction form
    51,191.60/76,784.76 = 19,616.78/x
  3. Step 3: Cross multiply
    51,191.60x = 76,784.76 × 19,616.78
  4. Step 4: Simplify right side
    51,191.60x = 1,506,269,936.23
  5. Step 5: Solve for x
    x = 1,506,269,936.23/51,191.60
  6. Step 6: Final answer
    x = 29,424.16

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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.