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Finding the Fourth Proportional to 35,442.40, 48,901.68 and 22,852

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Solution

The fourth proportional to 35,442.40, 48,901.68 and 22,852 is: 31,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442.40 : 48,901.68 = 22,852 : x
  2. Step 2: Convert to fraction form
    35,442.40/48,901.68 = 22,852/x
  3. Step 3: Cross multiply
    35,442.40x = 48,901.68 × 22,852
  4. Step 4: Simplify right side
    35,442.40x = 1,117,501,191.36
  5. Step 5: Solve for x
    x = 1,117,501,191.36/35,442.40
  6. Step 6: Final answer
    x = 31,530.07

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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.