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Finding the Fourth Proportional to 32,143.86, 48,220.35 and 9,958.98

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Solution

The fourth proportional to 32,143.86, 48,220.35 and 9,958.98 is: 14,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.86 : 48,220.35 = 9,958.98 : x
  2. Step 2: Convert to fraction form
    32,143.86/48,220.35 = 9,958.98/x
  3. Step 3: Cross multiply
    32,143.86x = 48,220.35 × 9,958.98
  4. Step 4: Simplify right side
    32,143.86x = 480,225,501.24
  5. Step 5: Solve for x
    x = 480,225,501.24/32,143.86
  6. Step 6: Final answer
    x = 14,939.88

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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.