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Finding the Fourth Proportional to 31,066.67, 46,600.11 and 12,345.50

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Solution

The fourth proportional to 31,066.67, 46,600.11 and 12,345.50 is: 18,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.67 : 46,600.11 = 12,345.50 : x
  2. Step 2: Convert to fraction form
    31,066.67/46,600.11 = 12,345.50/x
  3. Step 3: Cross multiply
    31,066.67x = 46,600.11 × 12,345.50
  4. Step 4: Simplify right side
    31,066.67x = 575,301,425.00
  5. Step 5: Solve for x
    x = 575,301,425.00/31,066.67
  6. Step 6: Final answer
    x = 18,518.29

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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.