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Finding the Fourth Proportional to 31,666.89, 47,500.30 and 12,700.08

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Solution

The fourth proportional to 31,666.89, 47,500.30 and 12,700.08 is: 19,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.89 : 47,500.30 = 12,700.08 : x
  2. Step 2: Convert to fraction form
    31,666.89/47,500.30 = 12,700.08/x
  3. Step 3: Cross multiply
    31,666.89x = 47,500.30 × 12,700.08
  4. Step 4: Simplify right side
    31,666.89x = 603,257,697.02
  5. Step 5: Solve for x
    x = 603,257,697.02/31,666.89
  6. Step 6: Final answer
    x = 19,050.11

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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.