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Finding the Fourth Proportional to 64,281.81, 96,484.95 and 31,025.22

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Solution

The fourth proportional to 64,281.81, 96,484.95 and 31,025.22 is: 46,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,281.81 : 96,484.95 = 31,025.22 : x
  2. Step 2: Convert to fraction form
    64,281.81/96,484.95 = 31,025.22/x
  3. Step 3: Cross multiply
    64,281.81x = 96,484.95 × 31,025.22
  4. Step 4: Simplify right side
    64,281.81x = 2,993,466,800.44
  5. Step 5: Solve for x
    x = 2,993,466,800.44/64,281.81
  6. Step 6: Final answer
    x = 46,567.87

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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.