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Finding the Fourth Proportional to 106,397.36, 159,634.14 and 45,582.11

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Solution

The fourth proportional to 106,397.36, 159,634.14 and 45,582.11 is: 68,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,397.36 : 159,634.14 = 45,582.11 : x
  2. Step 2: Convert to fraction form
    106,397.36/159,634.14 = 45,582.11/x
  3. Step 3: Cross multiply
    106,397.36x = 159,634.14 × 45,582.11
  4. Step 4: Simplify right side
    106,397.36x = 7,276,460,929.24
  5. Step 5: Solve for x
    x = 7,276,460,929.24/106,397.36
  6. Step 6: Final answer
    x = 68,389.49

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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.