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Finding the Fourth Proportional to 51,708.73, 77,563.10 and 14,772.73

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Solution

The fourth proportional to 51,708.73, 77,563.10 and 14,772.73 is: 22,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708.73 : 77,563.10 = 14,772.73 : x
  2. Step 2: Convert to fraction form
    51,708.73/77,563.10 = 14,772.73/x
  3. Step 3: Cross multiply
    51,708.73x = 77,563.10 × 14,772.73
  4. Step 4: Simplify right side
    51,708.73x = 1,145,818,660.40
  5. Step 5: Solve for x
    x = 1,145,818,660.40/51,708.73
  6. Step 6: Final answer
    x = 22,159.10

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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.