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Finding the Fourth Proportional to 35,271.04, 52,905.12 and 14,494

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Solution

The fourth proportional to 35,271.04, 52,905.12 and 14,494 is: 21,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,271.04 : 52,905.12 = 14,494 : x
  2. Step 2: Convert to fraction form
    35,271.04/52,905.12 = 14,494/x
  3. Step 3: Cross multiply
    35,271.04x = 52,905.12 × 14,494
  4. Step 4: Simplify right side
    35,271.04x = 766,806,809.28
  5. Step 5: Solve for x
    x = 766,806,809.28/35,271.04
  6. Step 6: Final answer
    x = 21,740.41

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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.