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Finding the Fourth Proportional to 100,764.16, 151,147.54 and 29,670.64

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Solution

The fourth proportional to 100,764.16, 151,147.54 and 29,670.64 is: 44,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764.16 : 151,147.54 = 29,670.64 : x
  2. Step 2: Convert to fraction form
    100,764.16/151,147.54 = 29,670.64/x
  3. Step 3: Cross multiply
    100,764.16x = 151,147.54 × 29,670.64
  4. Step 4: Simplify right side
    100,764.16x = 4,484,643,490.49
  5. Step 5: Solve for x
    x = 4,484,643,490.49/100,764.16
  6. Step 6: Final answer
    x = 44,506.33

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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.