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Finding the Fourth Proportional to 31,517.02, 47,276.02 and 9,332.64

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Solution

The fourth proportional to 31,517.02, 47,276.02 and 9,332.64 is: 13,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.02 : 47,276.02 = 9,332.64 : x
  2. Step 2: Convert to fraction form
    31,517.02/47,276.02 = 9,332.64/x
  3. Step 3: Cross multiply
    31,517.02x = 47,276.02 × 9,332.64
  4. Step 4: Simplify right side
    31,517.02x = 441,210,075.29
  5. Step 5: Solve for x
    x = 441,210,075.29/31,517.02
  6. Step 6: Final answer
    x = 13,999.11

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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.