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Finding the Fourth Proportional to 120,051.34, 180,073.08 and 35,812.18

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Solution

The fourth proportional to 120,051.34, 180,073.08 and 35,812.18 is: 53,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051.34 : 180,073.08 = 35,812.18 : x
  2. Step 2: Convert to fraction form
    120,051.34/180,073.08 = 35,812.18/x
  3. Step 3: Cross multiply
    120,051.34x = 180,073.08 × 35,812.18
  4. Step 4: Simplify right side
    120,051.34x = 6,448,809,554.11
  5. Step 5: Solve for x
    x = 6,448,809,554.11/120,051.34
  6. Step 6: Final answer
    x = 53,717.10

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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.