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Finding the Fourth Proportional to 31,428, 47,164.48 and 11,437.46

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Solution

The fourth proportional to 31,428, 47,164.48 and 11,437.46 is: 17,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 47,164.48 = 11,437.46 : x
  2. Step 2: Convert to fraction form
    31,428/47,164.48 = 11,437.46/x
  3. Step 3: Cross multiply
    31,428x = 47,164.48 × 11,437.46
  4. Step 4: Simplify right side
    31,428x = 539,441,853.42
  5. Step 5: Solve for x
    x = 539,441,853.42/31,428
  6. Step 6: Final answer
    x = 17,164.37

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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.