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Finding the Fourth Proportional to 31,342.32, 47,015.91 and 13,574.16

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Solution

The fourth proportional to 31,342.32, 47,015.91 and 13,574.16 is: 20,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.32 : 47,015.91 = 13,574.16 : x
  2. Step 2: Convert to fraction form
    31,342.32/47,015.91 = 13,574.16/x
  3. Step 3: Cross multiply
    31,342.32x = 47,015.91 × 13,574.16
  4. Step 4: Simplify right side
    31,342.32x = 638,201,484.89
  5. Step 5: Solve for x
    x = 638,201,484.89/31,342.32
  6. Step 6: Final answer
    x = 20,362.29

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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.