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Finding the Fourth Proportional to 105,762.10, 158,572.18 and 41,661.64

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Solution

The fourth proportional to 105,762.10, 158,572.18 and 41,661.64 is: 62,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.10 : 158,572.18 = 41,661.64 : x
  2. Step 2: Convert to fraction form
    105,762.10/158,572.18 = 41,661.64/x
  3. Step 3: Cross multiply
    105,762.10x = 158,572.18 × 41,661.64
  4. Step 4: Simplify right side
    105,762.10x = 6,606,377,077.18
  5. Step 5: Solve for x
    x = 6,606,377,077.18/105,762.10
  6. Step 6: Final answer
    x = 62,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.