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Finding the Fourth Proportional to 64,953.86, 97,474.53 and 29,424.83

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Solution

The fourth proportional to 64,953.86, 97,474.53 and 29,424.83 is: 44,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953.86 : 97,474.53 = 29,424.83 : x
  2. Step 2: Convert to fraction form
    64,953.86/97,474.53 = 29,424.83/x
  3. Step 3: Cross multiply
    64,953.86x = 97,474.53 × 29,424.83
  4. Step 4: Simplify right side
    64,953.86x = 2,868,171,474.58
  5. Step 5: Solve for x
    x = 2,868,171,474.58/64,953.86
  6. Step 6: Final answer
    x = 44,157.06

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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.