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Finding the Fourth Proportional to 64,764.21, 97,005.69 and 31,414.19

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Solution

The fourth proportional to 64,764.21, 97,005.69 and 31,414.19 is: 47,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764.21 : 97,005.69 = 31,414.19 : x
  2. Step 2: Convert to fraction form
    64,764.21/97,005.69 = 31,414.19/x
  3. Step 3: Cross multiply
    64,764.21x = 97,005.69 × 31,414.19
  4. Step 4: Simplify right side
    64,764.21x = 3,047,354,691.71
  5. Step 5: Solve for x
    x = 3,047,354,691.71/64,764.21
  6. Step 6: Final answer
    x = 47,053.07

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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.