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Finding the Fourth Proportional to 31,526.20, 47,267.70 and 14,894.20

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Solution

The fourth proportional to 31,526.20, 47,267.70 and 14,894.20 is: 22,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,526.20 : 47,267.70 = 14,894.20 : x
  2. Step 2: Convert to fraction form
    31,526.20/47,267.70 = 14,894.20/x
  3. Step 3: Cross multiply
    31,526.20x = 47,267.70 × 14,894.20
  4. Step 4: Simplify right side
    31,526.20x = 704,014,577.34
  5. Step 5: Solve for x
    x = 704,014,577.34/31,526.20
  6. Step 6: Final answer
    x = 22,331.10

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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.