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Finding the Fourth Proportional to 47,005.40, 70,524.50 and 20,712.39

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Solution

The fourth proportional to 47,005.40, 70,524.50 and 20,712.39 is: 31,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005.40 : 70,524.50 = 20,712.39 : x
  2. Step 2: Convert to fraction form
    47,005.40/70,524.50 = 20,712.39/x
  3. Step 3: Cross multiply
    47,005.40x = 70,524.50 × 20,712.39
  4. Step 4: Simplify right side
    47,005.40x = 1,460,730,844.99
  5. Step 5: Solve for x
    x = 1,460,730,844.99/47,005.40
  6. Step 6: Final answer
    x = 31,075.81

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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.