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Finding the Fourth Proportional to 35,384.04, 48,809.70 and 22,113

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Solution

The fourth proportional to 35,384.04, 48,809.70 and 22,113 is: 30,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384.04 : 48,809.70 = 22,113 : x
  2. Step 2: Convert to fraction form
    35,384.04/48,809.70 = 22,113/x
  3. Step 3: Cross multiply
    35,384.04x = 48,809.70 × 22,113
  4. Step 4: Simplify right side
    35,384.04x = 1,079,328,896.10
  5. Step 5: Solve for x
    x = 1,079,328,896.10/35,384.04
  6. Step 6: Final answer
    x = 30,503.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.