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Finding the Fourth Proportional to 51,475.74, 77,212.80 and 16,415.16

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Solution

The fourth proportional to 51,475.74, 77,212.80 and 16,415.16 is: 24,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,475.74 : 77,212.80 = 16,415.16 : x
  2. Step 2: Convert to fraction form
    51,475.74/77,212.80 = 16,415.16/x
  3. Step 3: Cross multiply
    51,475.74x = 77,212.80 × 16,415.16
  4. Step 4: Simplify right side
    51,475.74x = 1,267,460,466.05
  5. Step 5: Solve for x
    x = 1,267,460,466.05/51,475.74
  6. Step 6: Final answer
    x = 24,622.48

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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.