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Finding the Fourth Proportional to 31,607.88, 47,437.76 and 16,029.96

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Solution

The fourth proportional to 31,607.88, 47,437.76 and 16,029.96 is: 24,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.88 : 47,437.76 = 16,029.96 : x
  2. Step 2: Convert to fraction form
    31,607.88/47,437.76 = 16,029.96/x
  3. Step 3: Cross multiply
    31,607.88x = 47,437.76 × 16,029.96
  4. Step 4: Simplify right side
    31,607.88x = 760,425,395.29
  5. Step 5: Solve for x
    x = 760,425,395.29/31,607.88
  6. Step 6: Final answer
    x = 24,058.10

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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.