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Finding the Fourth Proportional to 31,554.69, 47,323.93 and 9,362.81

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Solution

The fourth proportional to 31,554.69, 47,323.93 and 9,362.81 is: 14,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554.69 : 47,323.93 = 9,362.81 : x
  2. Step 2: Convert to fraction form
    31,554.69/47,323.93 = 9,362.81/x
  3. Step 3: Cross multiply
    31,554.69x = 47,323.93 × 9,362.81
  4. Step 4: Simplify right side
    31,554.69x = 443,084,965.04
  5. Step 5: Solve for x
    x = 443,084,965.04/31,554.69
  6. Step 6: Final answer
    x = 14,041.81

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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.