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Finding the Fourth Proportional to 51,506.40, 77,259.60 and 16,447.20

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Solution

The fourth proportional to 51,506.40, 77,259.60 and 16,447.20 is: 24,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.40 : 77,259.60 = 16,447.20 : x
  2. Step 2: Convert to fraction form
    51,506.40/77,259.60 = 16,447.20/x
  3. Step 3: Cross multiply
    51,506.40x = 77,259.60 × 16,447.20
  4. Step 4: Simplify right side
    51,506.40x = 1,270,704,093.12
  5. Step 5: Solve for x
    x = 1,270,704,093.12/51,506.40
  6. Step 6: Final answer
    x = 24,670.80

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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.