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Finding the Fourth Proportional to 109,638.30, 164,457.45 and 39,492.30

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Solution

The fourth proportional to 109,638.30, 164,457.45 and 39,492.30 is: 59,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.30 : 164,457.45 = 39,492.30 : x
  2. Step 2: Convert to fraction form
    109,638.30/164,457.45 = 39,492.30/x
  3. Step 3: Cross multiply
    109,638.30x = 164,457.45 × 39,492.30
  4. Step 4: Simplify right side
    109,638.30x = 6,494,802,952.64
  5. Step 5: Solve for x
    x = 6,494,802,952.64/109,638.30
  6. Step 6: Final answer
    x = 59,238.45

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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.