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Finding the Fourth Proportional to 109,051.82, 163,510.75 and 42,414.28

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Solution

The fourth proportional to 109,051.82, 163,510.75 and 42,414.28 is: 63,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,051.82 : 163,510.75 = 42,414.28 : x
  2. Step 2: Convert to fraction form
    109,051.82/163,510.75 = 42,414.28/x
  3. Step 3: Cross multiply
    109,051.82x = 163,510.75 × 42,414.28
  4. Step 4: Simplify right side
    109,051.82x = 6,935,191,297.50
  5. Step 5: Solve for x
    x = 6,935,191,297.50/109,051.82
  6. Step 6: Final answer
    x = 63,595.37

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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.