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Finding the Fourth Proportional to 31,468.32, 43,412.40 and 19,507.68

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Solution

The fourth proportional to 31,468.32, 43,412.40 and 19,507.68 is: 26,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.32 : 43,412.40 = 19,507.68 : x
  2. Step 2: Convert to fraction form
    31,468.32/43,412.40 = 19,507.68/x
  3. Step 3: Cross multiply
    31,468.32x = 43,412.40 × 19,507.68
  4. Step 4: Simplify right side
    31,468.32x = 846,875,207.23
  5. Step 5: Solve for x
    x = 846,875,207.23/31,468.32
  6. Step 6: Final answer
    x = 26,911.99

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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.