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Finding the Fourth Proportional to 35,392.40, 48,832.68 and 22,802

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Solution

The fourth proportional to 35,392.40, 48,832.68 and 22,802 is: 31,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,392.40 : 48,832.68 = 22,802 : x
  2. Step 2: Convert to fraction form
    35,392.40/48,832.68 = 22,802/x
  3. Step 3: Cross multiply
    35,392.40x = 48,832.68 × 22,802
  4. Step 4: Simplify right side
    35,392.40x = 1,113,482,769.36
  5. Step 5: Solve for x
    x = 1,113,482,769.36/35,392.40
  6. Step 6: Final answer
    x = 31,461.07

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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.