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Finding the Fourth Proportional to 105,029.69, 157,484.05 and 45,837.05

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Solution

The fourth proportional to 105,029.69, 157,484.05 and 45,837.05 is: 68,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,029.69 : 157,484.05 = 45,837.05 : x
  2. Step 2: Convert to fraction form
    105,029.69/157,484.05 = 45,837.05/x
  3. Step 3: Cross multiply
    105,029.69x = 157,484.05 × 45,837.05
  4. Step 4: Simplify right side
    105,029.69x = 7,218,603,372.04
  5. Step 5: Solve for x
    x = 7,218,603,372.04/105,029.69
  6. Step 6: Final answer
    x = 68,729.17

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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.