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Finding the Fourth Proportional to 31,103.48, 46,655.94 and 7,730.12

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Solution

The fourth proportional to 31,103.48, 46,655.94 and 7,730.12 is: 11,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.48 : 46,655.94 = 7,730.12 : x
  2. Step 2: Convert to fraction form
    31,103.48/46,655.94 = 7,730.12/x
  3. Step 3: Cross multiply
    31,103.48x = 46,655.94 × 7,730.12
  4. Step 4: Simplify right side
    31,103.48x = 360,656,014.91
  5. Step 5: Solve for x
    x = 360,656,014.91/31,103.48
  6. Step 6: Final answer
    x = 11,595.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.