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Finding the Fourth Proportional to 31,388.40, 47,038.86 and 23,588.10

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Solution

The fourth proportional to 31,388.40, 47,038.86 and 23,588.10 is: 35,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.40 : 47,038.86 = 23,588.10 : x
  2. Step 2: Convert to fraction form
    31,388.40/47,038.86 = 23,588.10/x
  3. Step 3: Cross multiply
    31,388.40x = 47,038.86 × 23,588.10
  4. Step 4: Simplify right side
    31,388.40x = 1,109,557,333.57
  5. Step 5: Solve for x
    x = 1,109,557,333.57/31,388.40
  6. Step 6: Final answer
    x = 35,349.28

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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.