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Finding the Fourth Proportional to 64,733.64, 97,111.53 and 29,676.30

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Solution

The fourth proportional to 64,733.64, 97,111.53 and 29,676.30 is: 44,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,733.64 : 97,111.53 = 29,676.30 : x
  2. Step 2: Convert to fraction form
    64,733.64/97,111.53 = 29,676.30/x
  3. Step 3: Cross multiply
    64,733.64x = 97,111.53 × 29,676.30
  4. Step 4: Simplify right side
    64,733.64x = 2,881,910,897.74
  5. Step 5: Solve for x
    x = 2,881,910,897.74/64,733.64
  6. Step 6: Final answer
    x = 44,519.52

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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.