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Finding the Fourth Proportional to 105,805.84, 158,671.85 and 46,609.22

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Solution

The fourth proportional to 105,805.84, 158,671.85 and 46,609.22 is: 69,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805.84 : 158,671.85 = 46,609.22 : x
  2. Step 2: Convert to fraction form
    105,805.84/158,671.85 = 46,609.22/x
  3. Step 3: Cross multiply
    105,805.84x = 158,671.85 × 46,609.22
  4. Step 4: Simplify right side
    105,805.84x = 7,395,570,312.84
  5. Step 5: Solve for x
    x = 7,395,570,312.84/105,805.84
  6. Step 6: Final answer
    x = 69,897.56

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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.