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Finding the Fourth Proportional to 31,907.28, 44,030.32 and 17,564.32

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Solution

The fourth proportional to 31,907.28, 44,030.32 and 17,564.32 is: 24,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.28 : 44,030.32 = 17,564.32 : x
  2. Step 2: Convert to fraction form
    31,907.28/44,030.32 = 17,564.32/x
  3. Step 3: Cross multiply
    31,907.28x = 44,030.32 × 17,564.32
  4. Step 4: Simplify right side
    31,907.28x = 773,362,630.18
  5. Step 5: Solve for x
    x = 773,362,630.18/31,907.28
  6. Step 6: Final answer
    x = 24,237.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.