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Finding the Fourth Proportional to 31,509.40, 47,264.10 and 26,325.40

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Solution

The fourth proportional to 31,509.40, 47,264.10 and 26,325.40 is: 39,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.40 : 47,264.10 = 26,325.40 : x
  2. Step 2: Convert to fraction form
    31,509.40/47,264.10 = 26,325.40/x
  3. Step 3: Cross multiply
    31,509.40x = 47,264.10 × 26,325.40
  4. Step 4: Simplify right side
    31,509.40x = 1,244,246,338.14
  5. Step 5: Solve for x
    x = 1,244,246,338.14/31,509.40
  6. Step 6: Final answer
    x = 39,488.10

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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.