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Finding the Fourth Proportional to 99,008.28, 148,511.07 and 24,129

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Solution

The fourth proportional to 99,008.28, 148,511.07 and 24,129 is: 36,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,008.28 : 148,511.07 = 24,129 : x
  2. Step 2: Convert to fraction form
    99,008.28/148,511.07 = 24,129/x
  3. Step 3: Cross multiply
    99,008.28x = 148,511.07 × 24,129
  4. Step 4: Simplify right side
    99,008.28x = 3,583,423,608.03
  5. Step 5: Solve for x
    x = 3,583,423,608.03/99,008.28
  6. Step 6: Final answer
    x = 36,193.17

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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.