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Finding the Fourth Proportional to 64,741.34, 97,078.89 and 29,650.93

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Solution

The fourth proportional to 64,741.34, 97,078.89 and 29,650.93 is: 44,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,741.34 : 97,078.89 = 29,650.93 : x
  2. Step 2: Convert to fraction form
    64,741.34/97,078.89 = 29,650.93/x
  3. Step 3: Cross multiply
    64,741.34x = 97,078.89 × 29,650.93
  4. Step 4: Simplify right side
    64,741.34x = 2,878,479,371.87
  5. Step 5: Solve for x
    x = 2,878,479,371.87/64,741.34
  6. Step 6: Final answer
    x = 44,461.23

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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.