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Finding the Fourth Proportional to 31,206.39, 46,808.10 and 11,483.52

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Solution

The fourth proportional to 31,206.39, 46,808.10 and 11,483.52 is: 17,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.39 : 46,808.10 = 11,483.52 : x
  2. Step 2: Convert to fraction form
    31,206.39/46,808.10 = 11,483.52/x
  3. Step 3: Cross multiply
    31,206.39x = 46,808.10 × 11,483.52
  4. Step 4: Simplify right side
    31,206.39x = 537,521,752.51
  5. Step 5: Solve for x
    x = 537,521,752.51/31,206.39
  6. Step 6: Final answer
    x = 17,224.73

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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.