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Finding the Fourth Proportional to 31,670.09, 47,499.66 and 9,477.50

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Solution

The fourth proportional to 31,670.09, 47,499.66 and 9,477.50 is: 14,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.09 : 47,499.66 = 9,477.50 : x
  2. Step 2: Convert to fraction form
    31,670.09/47,499.66 = 9,477.50/x
  3. Step 3: Cross multiply
    31,670.09x = 47,499.66 × 9,477.50
  4. Step 4: Simplify right side
    31,670.09x = 450,178,146.40
  5. Step 5: Solve for x
    x = 450,178,146.40/31,670.09
  6. Step 6: Final answer
    x = 14,214.62

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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.