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Finding the Fourth Proportional to 64,176.40, 96,199.80 and 29,141.20

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Solution

The fourth proportional to 64,176.40, 96,199.80 and 29,141.20 is: 43,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176.40 : 96,199.80 = 29,141.20 : x
  2. Step 2: Convert to fraction form
    64,176.40/96,199.80 = 29,141.20/x
  3. Step 3: Cross multiply
    64,176.40x = 96,199.80 × 29,141.20
  4. Step 4: Simplify right side
    64,176.40x = 2,803,377,611.76
  5. Step 5: Solve for x
    x = 2,803,377,611.76/64,176.40
  6. Step 6: Final answer
    x = 43,682.38

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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.