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Finding the Fourth Proportional to 31,874.52, 47,821.50 and 16,303.08

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Solution

The fourth proportional to 31,874.52, 47,821.50 and 16,303.08 is: 24,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.52 : 47,821.50 = 16,303.08 : x
  2. Step 2: Convert to fraction form
    31,874.52/47,821.50 = 16,303.08/x
  3. Step 3: Cross multiply
    31,874.52x = 47,821.50 × 16,303.08
  4. Step 4: Simplify right side
    31,874.52x = 779,637,740.22
  5. Step 5: Solve for x
    x = 779,637,740.22/31,874.52
  6. Step 6: Final answer
    x = 24,459.59

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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.