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Finding the Fourth Proportional to 51,710.72, 77,566.16 and 16,172.24

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Solution

The fourth proportional to 51,710.72, 77,566.16 and 16,172.24 is: 24,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710.72 : 77,566.16 = 16,172.24 : x
  2. Step 2: Convert to fraction form
    51,710.72/77,566.16 = 16,172.24/x
  3. Step 3: Cross multiply
    51,710.72x = 77,566.16 × 16,172.24
  4. Step 4: Simplify right side
    51,710.72x = 1,254,418,555.40
  5. Step 5: Solve for x
    x = 1,254,418,555.40/51,710.72
  6. Step 6: Final answer
    x = 24,258.39

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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.