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Finding the Fourth Proportional to 105,652.72, 158,530.68 and 46,481

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Solution

The fourth proportional to 105,652.72, 158,530.68 and 46,481 is: 69,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.72 : 158,530.68 = 46,481 : x
  2. Step 2: Convert to fraction form
    105,652.72/158,530.68 = 46,481/x
  3. Step 3: Cross multiply
    105,652.72x = 158,530.68 × 46,481
  4. Step 4: Simplify right side
    105,652.72x = 7,368,664,537.08
  5. Step 5: Solve for x
    x = 7,368,664,537.08/105,652.72
  6. Step 6: Final answer
    x = 69,744.20

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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.