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Finding the Fourth Proportional to 64,737.83, 97,073.64 and 29,647.42

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Solution

The fourth proportional to 64,737.83, 97,073.64 and 29,647.42 is: 44,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,737.83 : 97,073.64 = 29,647.42 : x
  2. Step 2: Convert to fraction form
    64,737.83/97,073.64 = 29,647.42/x
  3. Step 3: Cross multiply
    64,737.83x = 97,073.64 × 29,647.42
  4. Step 4: Simplify right side
    64,737.83x = 2,877,982,733.32
  5. Step 5: Solve for x
    x = 2,877,982,733.32/64,737.83
  6. Step 6: Final answer
    x = 44,455.96

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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.