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Finding the Fourth Proportional to 105,037.10, 157,555.65 and 31,165.10

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Solution

The fourth proportional to 105,037.10, 157,555.65 and 31,165.10 is: 46,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,037.10 : 157,555.65 = 31,165.10 : x
  2. Step 2: Convert to fraction form
    105,037.10/157,555.65 = 31,165.10/x
  3. Step 3: Cross multiply
    105,037.10x = 157,555.65 × 31,165.10
  4. Step 4: Simplify right side
    105,037.10x = 4,910,237,587.82
  5. Step 5: Solve for x
    x = 4,910,237,587.82/105,037.10
  6. Step 6: Final answer
    x = 46,747.65

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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.